The best way to get rid off common mode noise for remote measurement
You have to take care of two kinds of interference:


common mode interference caused by capacitive coupling
differential mode interference caused by inductive coupling


Capacitive coupling is already handled well by shielding and by using a differential pair of signals because it affects bouth lines about the same.

For handling inductive coupling using a twisted pair is very important.
If wires are not twisted it is easy to induce quite a large voltage (acting like a AC voltage source in series of the signal source) caused by changing magnetic fields (possible sources are transformers, speakers, SWPS, cellphones... any AC currents).
Twisting the differential pair reduces the intereferences as every other twist adds a positive/negative intereference to the signal ideally canceling out at the end (see Image below). 




The upper part shows a non-twisted wire pair: interfernce by induction is large (proportinal to blua area).  
The lower part shows a twisted wire pair: interference by induction is small (or even zero) as positive (+) and negative (-) interferences cancel out (partially).