Brawler damage dice question

[Gallant Armor]

If a 20th level half-orc brawler takes the "Add ¼ to the brawler’s effective level to determine her unarmed strike damage" favored class bonus at every level and wear's a monk's robe, what would their unarmed damage be? Specifically, is 2d10 a hard cap or would you determine what an effective level 30 Brawler's unarmed damage would be?

Similarly, is 16d6 a hard cap on damage dice on the size progression chart, or do you use the progression to determine higher damage dice?

[Saethori]

The size progression chart, at least, specifies what to do if you run out of numbers on it.

As for monk damage, and by extension brawler damage, there is no such outlet. By the time you reach effective monk level 20 for your attacks, you cease increasing in strength. A GM might be willing to extrapolate, but that's completely their call.

[Chess Pwn]

2d10 is hard cap

[Claxon]

2d10 is an effective hard cap, it does not go beyond that.