Exclusive to a center; especially a center of influence WordNet 3.0 & Open English WordNet

Confined to a center of influence. OmegaWiki

Privileged, more or most privileged, more or most influential, intimate, exclusive, more important, more intimate, private, secret, confined to an exclusive group, exclusive to a center; especially a center of influence being near a center especially of influence. Wiktionary

More or most privileged, influential, exclusive. Wiktionary (translation)