Carthage was founded by Phoenicians settlers around 800 BC. Because of its position, and being in a relatively calm area (compared to their homeland), Carthage quickly rose in importance, overtaking not only Tyre, but the entire Phoenicia in both richness and power.
Its inhabitants, descendents of ancient settlers, founded a large number of colonies themselves, ultimately building an empire.
While sharing much with the Phoenicians, they also showed distinct traits. For instance they controlled a vast territory, compared to their ancestors, which relied on trading posts rather than colonies. They were excellent military commanders, whereas the Phoenicians did not produce a general worth of Hannibal.
Are they sufficiently different to be considered a distinct civilization?
Do the Greeks and the Romans constitute one or two civilizations?
What?!?! (different language, different religion - sort of, different politics, etc)