peppermint candy vs mint

peppermint candy and mint both are nouns.

Word	Noun	Adjective	Verb	Adverb
peppermint candy	Yes	No	No	No
mint	Yes	Yes	Yes	No

As nouns, mint is a hypernym of peppermint candy; that is, mint is a word with a broader meaning than peppermint candy:

Other hypernyms of peppermint candy include mint candy.

peppermint candy (noun)	mint (noun)
a candy flavored with peppermint oil	a plant where money is coined by authority of the government
	a candy that is flavored with a mint oil
	the leaves of a mint plant used fresh or candied
	any north temperate plant of the genus Mentha with aromatic leaves and small mauve flowers
	any member of the mint family of plants
	(often followed by `of') a large number or amount or extent

peppermint candy (adjective)	mint (adjective)
	as if new

peppermint candy (verb)	mint (verb)
	form by stamping, punching, or printing