The Collaborative International Dictionary of English v.0.48:

Coenenchym \C[oe]*nen"chym\, Coenenchyma \C[oe]*nen"chy*ma\n.
   [NL. coenenchyma, fr. Gr. koino`s common + ? something poured
   in. Formed like parenchyma.] (Zool.)
   The common tissue which unites the polyps or zooids of a
   compound anthozoan or coral. It may be soft or more or less
   ossified. See Coral.
   [1913 Webster]