  In his Ph.D. thesis, Sean Griffin introduced a family of ideals and found
monomial bases for their quotient rings. These rings simultaneously generalize
the Delta Conjecture coinvariant rings of Haglund-Rhoades-Shimozono and the
cohomology rings of Springer fibers studied by Tanisaki and Garsia-Procesi. We
recursively construct a Gr\"{o}bner basis of Griffin's ideals with respect to
the graded reverse lexicographical order. Consequently, Griffin's monomial
basis is the standard monomial basis. Coefficients of polynomials in our
Gr\"{o}bner basis are integers and leading coefficients are one.
