  We study certain twisted sums of Orlicz spaces with non-trivial type which
can be viewed as Fenchel-Orlicz spaces on ${\rm {\bf R}}^2$. We then show that
a large class of Fenchel-Orlicz spaces on ${\rm {\bf R}}^n$ can be renormed to
have property (M). In particular this gives a new construction of the twisted
Hilbert space $Z_2$ and shows it has property (M), after an appropriate
renorming.
