This is a space of vector valued Siegel modular forms with real representation $\mathrm{Det}^{ 20}\otimes\mathrm{Sym}^{ 2 }$. The following table gives the dimensions of various subspaces of $M_{20, 2}(\mathrm{Sp}(4, \mathbb{Z}))$.

Total5
Eisenstein1
Klingen1
Maass2
Interesting1

The following samples live in this space.

20_C1   20_C2   20_E