Not to be harsh about it, but perhaps for around the same money from your local plumbing supply if you shop around you can find a Toto Drake CST744S (1.6gpf) or CST744E (1.28 gpf), both of which would be on a 12" rough-in at the regular height. And of course they are high-quality and perform magnificently. Five inches from the wall is pretty unsightly, and adding bracing isn't going to make it prettier. All toilets are going to have gaps behind the tank of some size, so it really doesn't seem to matter whether it's 2" or 5", the tank shouldn't be rocking or require bracing in either case. Bracing, of course, only keeps the tank from moving in one direction (towards the wall), not the other (away from the wall), so it seems like getting the tank installed nice and firmly is really your best bet.
I'm a little suprised that you have 2" behind the one that's on the 12" rough-in. Even the Drake, which has one of the bigger gaps, leaves only about an inch behind the tank to the wall on a 12" rough-in.
Good luck!!





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