Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
cunctim, adv. [cunctus], all together, in a body, collectively, for conjunctim (very rare, perh. only in App.): cunctim et coacervatim (opp.: singulatim ac discretim), App. Flor. 9, p. 347, 6; id. de Deo Socr. 4, p. 43, 39 Hildebr. (al. cuncti).