This is a space of vector valued Siegel modular forms with real representation $\mathrm{Det}^{ 10}\otimes\mathrm{Sym}^{ 2 }$. The following table gives the dimensions of various subspaces of $M_{10, 2}(\mathrm{Sp}(4, \mathbb{Z}))$.

Total2
Eisenstein1
Klingen0
Maass1
Interesting0

The following samples live in this space.

10_E