  In this paper we propose a novel supersymmetric inverse seesaw model which
has only one additional $Z_6$ symmetry. The field content is minimal to get a
viable neutrino spectrum at tree-level. Interestingly, the inverse seesaw scale
in our model is related to the scale of electroweak symmetry breaking. Due to
that origin we are less biased about hierarchies and discuss three different
types of the inverse seesaw mechanism with different phenomenologies. We can
successfully reproduce neutrino masses and mixing and our model is consistent
with current bounds on neutrinoless double beta decay, non-unitarity of the
PMNS matrix and charged lepton flavor violation.
