an act or instance of connoting.

the associated or secondary meaning of a word or expression in addition to its explicit or primary meaning

A possible connotation of home is a place of warmth, comfort, and affection. Compare denotation def. 1

Logic . the set of attributes constituting the meaning of a term and thus determining the range of objects to which that term may be applied; comprehension; intension.

adjective

meaning , implying , suggesting , hinting , referring , allusive , evocative , impressionistic , reminiscent