  We construct a family of twisted generalized Weyl algebras which includes
Weyl-Clifford superalgebras and quotients of the enveloping algebras of
$\mathfrak{gl}(m|n)$ and $\mathfrak{osp}(m|2n)$. We give a condition for when a
canonical representation by differential operators is faithful. Lastly, we give
a description of the graded support of these algebras in terms of
pattern-avoiding vector compositions.
