family vs kinship group

family and kinship group both are nouns.

Word	Noun	Adjective	Verb	Adverb
family	Yes	No	No	No
kinship group	Yes	No	No	No

As nouns, kinship group is a hypernym of family; that is, kinship group is a word with a broader meaning than family:

Other hypernyms of family include clan, kin, kin group, kindred, tribe.

family (noun)	kinship group (noun)
primary social group; parents and children	group of people related by blood or marriage
people descended from a common ancestor
a social unit living together
(biology) a taxonomic group containing one or more genera
a collection of things sharing a common attribute
an association of people who share common beliefs or activities
a loose affiliation of gangsters in charge of organized criminal activities
a person having kinship with another or others