I hope I understand you correctly in that you want to remote the multiplexer with the white wires in your picture.This is not possible you'll understand why by looking at Fig.1 of the HX711 datasheet. The load cell is Vcc and GND input and a positive and a negative output. Both outputs must be connected to the HX711 to get a correct measurement.
Thanks for the answers, when looking at the same figure it looks like E+ is powered with the line in but also going through the S8850 transistor, that has a max A of 125m (http://www.datasheets360.com/pdf/-252002789868889517) and since each load cell only uses 5mA it shouldn't be a problem running 16 on it, right?
...my load cell is a 20kg and it needs 10v for its excitation.