A Maghrebi Union?

Was there ever a chance from the 15 century to now, that the Maghrebi states could have unified and what would they have called this union?

1. North Africa Empire

2. Maghrebi Empire

3. Darija

4. Carthage
 
There were a lot of potential unions in the 1960's due to pan-arabism. At its greatest extent, the Ottoman Empire controlled all of North Africa except Morocco.
 
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