stiffness has 12 distinct synonyms spread across 2 of its 5 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.
the physical property of being inflexible and hard to bend
the property of moving with pain or difficulty
“he awoke with a painful stiffness in his neck”
firm resoluteness in purpose or opinion or action
“a charming host without any touch of stiffness or pomposity”
the inelegance of someone stiff and unrelaxed (as by embarrassment)
Synonyms, antonyms and the broader and narrower relations for stiffness come from Princeton University’s WordNet. Full sources and licences.