  In this paper we show an explicit construction of multipartite class of
entangled states with the PPT (Positive Partial Transposition) property in
every cut. We investigate properties of this class of states focusing on the
trace distance from the set of separable states. We provide an explicit
sub-class of the multipartite entangled PPT states which are arbitrary far from
the set of separable states. We argue, that in the multipartite case the
mentioned distance increases with dimension of the local Hilbert space. In our
construction is we do not have to use many copies of initial state living on
the smaller space to boost the trace distance as in the previous attempts to
this problem.
