An Arbitrary Dice cap could be a campaign style setting. Mutants and Masterminds does this, as an example, I know there are other games that do similar.
Street Level 14 Dice.
Starting Runner 16 Dice.
Pro Runner 20 Dice.
Prime Runner 24 Dice.
World Beater 28 Dice.
Or whatever. I wouldn't set an arbitrary cap for the entire game system. I'd suggest GM's cap it by campaign style / table preference.