sense has 13 distinct synonyms spread across 5 of its 9 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a general conscious awareness
“a sense of security”
the meaning of a word or expression; the way in which a word or expression or situation can be interpreted
“the dictionary gave several senses for the word”
the faculty through which the external world is apprehended
“in the dark he had to depend on touch and on his senses of smell and hearing”
sound practical judgment
“Common sense is not so common”
a natural appreciation or ability
“a keen musical sense”
detect some circumstance or entity automatically
“This robot can sense the presence of people in the room”
comprehend
“I sensed the real meaning of his letter”
Synonyms, antonyms and the broader and narrower relations for sense come from Princeton University’s WordNet. Full sources and licences.