Good score on the Mineral Gray Moab wheels. I really like them.
The stock tire that came on that wheel was the 255/75R17 BFGoodrich Mud-Terrain T/A KM
, which is bigger than your 16s and do not require any further modifications to your Jeep.
However, if you wanted, you could go even larger, but the backspacing of the stock wheels poses some problems which you may or may not wish to deal with. Many users run a 33" (285/70R17) tire on the stock wheels with spacers and have no driveability issues, except when the suspension is fully flexed in off-road situations.
Be sure to read this thread by 4fit and you will find answers to all your questions:
Largest tire on stock JK? Here's your answer!