Allow me to add these final considerations in my plea in the OpAmp / no OpAmp and 8 vs 10 bits case
What about the variation in resistor values over all produced key pads by LA Gard?
If they used standard 5% resistors you should also take that into account.
You provide us Ohmic data for the numeric keys.
What about the "*" and "#" keys, what are their Ohmic values?
And then, with no key pressed at all, what resistance do you measure.
With these three new values we maybe find even less difference between keys / no key!
So, please post those three values. Thanks for that.
OpAmp lecture: Here is one you definitely need to read since Single Supply is what you need