to add to what wolf said, the larger rim also allows less side wall, less sidewall means less flex in handling.

think of the rim and tread as two parallel lines, the sidewall "flex" with the g forces of the car, making the rim to tread relation change, the more tire sidewall you have the more likely you are to loose the parallel.

you have to compromise though, going with too little sidewall is uncomfortable, and not good unless you have perfect roads (bending rims etc)

this is performance oriented, for fuel efficiency you want the "opposite" meaning less tread to save on drag, but lighter combinations of wheel and tire, for tires of the same diameter in different rim sizes can tend to even out the difference in rim weight, sometimes.

If you are wanting ultra efficient without reliance on the cluster data, swapping a metric 135 on the car would help you. the increase in diameter with less resistance would yield more distance with less work on the engine. but you are sacrificing cluster numbers, handling etc..