  In the paper we compute the virtual dimension (defined by the Hilbert
polynomial) of a space of hypersurfaces of given degree containing $s$
codimension 2 general linear subspaces in $\mathbb{P}^n$. We use Veneroni maps
to find a family of unexpected hypersurfaces (in the style of B. Harbourne, J.
Migliore, U. Nagel, Z. Teitler) and rigorously prove and extend examples
presented in the paper by B. Harbourne, J. Migliore and H. Tutaj-Gasi\'nska.
