We don't have synonyms for basidia yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are basilia.
(n) :
(mycology) A small structure, shaped like a club, found in the Basidiomycota division of fungi, that bears four spores at the tips of small projections. [from 19th c.]
(n) :
(mycology) A small structure, shaped like a club, found in the Basidiomycota division of fungi, that bears four spores at the tips of small projections. [from 19th c.]