  We study models of gauge-mediated supersymmetry breaking with messengers that
do not belong to complete representations of grand-unified gauge groups. We
show that certain setups characterized by heavy Wino can greatly improve the
fine tuning with respect to models with unified messengers, such as minimal
gauge mediation. The typical models with low tuning feature multi-TeV
superparticles, with the exception of the Higgsinos and possibly Bino and
right-handed sleptons. As a consequence, the absence of signals for
supersymmetry at the LHC is trivially accommodated in our framework. On the
other hand, testing these models will be challenging at the LHC. We finally
show that the gravitino can be a consistent candidate for cold dark matter,
provided a rather low reheating temperature, if a standard thermal history of
the universe is assumed.
