WordNet sense 1 (confined to an exclusive group):

privileged

WordNet sense 2 (excluding much or all; especially all but a particular group or minority):

exclusive

WordNet sense 3 (innermost or essential):

intimate, intimate

WordNet sense 4 (belonging to a thing by its very nature):

intrinsic, intrinsical

WordNet sense 5 (away from the outer edge):

inside

WordNet sense 6 (centrally located and easy to reach):

central

WordNet sense 7 (happening or arising or located within some limits or especially surface):

internal

WordNet sense 8 (located inward):

interior