ACU>RITE Temp Sensor # 606TX

They are "binary palindromes", for want of a better term. The {0°C-32°F} sequence for example contains a series of 38 bits, the second 19 bits of which is a mirror image of the first 19 bits. I haven't figured out the encoding but I might guess some sort of NRZ. IR remotes use something similar to this.