Here's the recording I got, for temperatures from 16 to 31 degrees. I have separated the first bytes until temperature bits occur (at the '-' mark), trying to compare a header with what Chris found.
Temperature is 4 bit, but other bits also change later on. I suspect a checksum at the end.
The end is also a bit unstable, where the recorded length is different for some of the readings. Don't know why, might be my homemade recorder for all i know. Therefore, where differences occur towards the end, data is probably not trustworthy.
16:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0000 0000000000110101000111101110000000000000000000000000010010000000001000010000 0001101 01011000100110100110110010010000000000000000000010000010000 0000 0000000000110101000111101110000000000000000000000000010010000000001000010000000110100
17:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1000 0000000000110101001011101110000000000000000000000000010010000000001000010000 1001100 01011000100110100110110010010000000000000000000010000010000 1000 000000000011010100101110111000000000000000000000000001001000000000100001000010011000100
18:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0100 0000000000110101001011101110000000000000000000000000010010000000001000010000 0101100 01011000100110100110110010010000000000000000000010000010000 0100 000000000011010100101110111000000000000000000000000001001000000000100001000001011000100
19:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1100 0000000000110101001011101110000000000000000000000000010010000000001000010000 1101100 01011000100110100110110010010000000000000000000010000010000 1100 000000000011010100101110111000000000000000000000000001001000000000100001000011011000100
20:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0010 0000000000110101001011101110000000000000000000000000010010000000001000010000 0011100 01011000100110100110110010010000000000000000000010000010000 0010 000000000011010100101110111000000000000000000000000001001000000000100001000000111000100
21:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1010 0000000000110101001011101110000000000000000000000000010010000000001000010000 1011100 01011000100110100110110010010000000000000000000010000010000 1010 000000000011010100101110111000000000000000000000000001001000000000100001000010111000100
22:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0110 0000000000110101001011101110000000000000000000000000010010000000001000010000 0111100 01011000100110100110110010010000000000000000000010000010000 0110 00000000001101010010111011100000000000000000000000000100100000000010000100000111100000
23:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1110 0000000000110101001011101110000000000000000000000000010010000000001000010000 1111100 01011000100110100110110010010000000000000000000010000010000 1110 000000000011010100101110111000000000000000000000000001001000000000100001000011111000000
24:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0001 0000000000110101001011101110000000000000000000000000010010000000001000010000 0000010 01011000100110100110110010010000000000000000000010000010000 0001 000000000011010100101110111000000000000000000000000001001000000000100001000000000100000
25:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1001 0000000000110101001011101110000000000000000000000000010010000000001000010000 1000010 01011000100110100110110010010000000000000000000010000010000 1001 00000000001101010010111011100000000000000000000000000100100000000010000100001000010000
26:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0101 0000000000110101001011101110000000000000000000000000010010000000001000010000 0100010 01011000100110100110110010010000000000000000000010000010000 0101 000000000011010100101110111000000000000000000000000001001000000000100001000001000100000
27:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1101 0000000000110101001011101110000000000000000000000000010010000000001000010000 1100010 01011000100110100110110010010000000000000000000010000010000 1101 000000000011010100101110111000000000000000000000000001001000000000100001000011000100000
28:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0011 0000000000110101001011101110000000000000000000000000010010000000001000010000 0010010 01011000100110100110110010010000000000000000000010000010000 0011 000000000011010100101110111000000000000000000000000001001000000000100001000000100100000
29:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1011 0000000000110101001011101110000000000000000000000000010010000000001000010000 1010010 01011000100110100110110010010000000000000000000010000010000 1011 000000000011010100101110111000000000000000000000000001001000000000100001000010100100000
30:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 0111 0000000000110101001011101110000000000000000000000000010010000000001000010000 0110010 01011000100110100110110010010000000000000000000010000010000 0111 000000000011010100101110111000000000000000000000000001001000000000100001000001100100000
31:11000100 11010011 01100100 10000000 00000000 00000100 00010000 - 1111 0000000000110101000111101110000000000000000000000000010010000000001000010000 1110011 01011000100110100110110010010000000000000000000010000010000 1111 000000000011010100011110111000000000000000000000000001001000000000100001000011100110000