New family of simple ${\mathfrak{g}\mathfrak{l}}_{2n}(\mathbb{C})$-modules

We construct a new family of simple ${\mathfrak{g}\mathfrak{l}}_{2n}$-modules which depends on $n^2$ generic parameters. Each such module is isomorphic to the regular $U({\mathfrak{g}\mathfrak{l}}_n)$-module when restricted the ${\mathfrak{g}\mathfrak{l}}_n$-subalgebra naturally embedded into the top-left corner.