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Hispania Carthaginensis was a Roman province segregated from Hispania Tarraconensis in the new division of Hispania by emperor Diocletian in 298.
The capital of the new province was settled in Carthago Nova, now Cartagena.
It encompassed the southern part of the Mediterranean coast of Spain, except that belonging to Hispania Baetica. Roughly speaking, the modern provinces of Valencia, Alicante and Murcia.
References
Hispania Carthaginensis Wikipedia(Text) CC BY-SA