homer vs base hit

homer and base hit both are nouns.

Word	Noun	Adjective	Verb	Adverb
homer	Yes	No	Yes	No
base hit	Yes	No	No	No

As nouns, base hit is a hypernym of homer; that is, base hit is a word with a broader meaning than homer:

homer: a base hit on which the batter scores a run
base hit: (baseball) the successful act of striking a baseball in such a way that the batter reaches base safely

Other hypernyms of homer include safety.

homer (noun)	base hit (noun)
a base hit on which the batter scores a run	(baseball) the successful act of striking a baseball in such a way that the batter reaches base safely
pigeon trained to return home
an ancient Hebrew unit of capacity equal to 10 baths or 10 ephahs

homer (verb)	base hit (verb)
hit a home run