The Drake needs 11" to work.
Toto also makes models live the Vespin, Carlyle, Soiree, Guinevere that can be converted with their 10"
Unifit adapter.
Other brands also make slimmer 10" tanks that will work.
American Standard and Gerber are some that work with 10" tanks.
Toto Vespin II CST474CEFG with SS114 Softclose seat.
This bowl was installed on a 13-1/2" rough-in using the 14" Unifit adapter.
The water shutoff can be as close as 5-1/2" to the left of center, unless it's higher off the floor, and then it can be even closer to center.
This shutoff had been replaced with a new 1/4 turn valve with brass nipple through the wall.
Installation was by James Love of Love Plumbing & Remodel 206-949-5683
In some of the older Seattle homes, the old toilets had been wall mounted tank toilets.
Those typically are 14" rough-in and need a flange repair to use standard closet bolt connections at the flange.
Everything is on the truck for that.
The Vespin comes with a standard 12" adapter or you can order a 10" or 14" adapter depending on your rough-in distance.