This is not a WI Carthage won its wars with Rome, it is what shape would she had at the apex of her glory as an alternative mediterranean hegemon.
So we have a state that has just annexed Rome, its center is on the coastline of North Africa, more trade oriented and less militaristic by nature than her RL counterpart. Entire Iberia would probably be their colony with given time, and the wish of connecting it with their new italian dominion would lead to southern Gallia coming to fold as well.
But what about Greece, Egypt or anatolian states - are wars of conquest of those areas that inevitable or is there a place for it in the very trade like nature of the Carthaginians at all ? In the end, what do you think, what would for the development of a civilized Europe have the fact that the state she came out of had her heartland on the african coastline and not Italy?