  We consider the minimal supersymmetric Standard Model with large scalar and
gaugino mass terms at the GUT scale, which are generated predominantly by
gauge-mediated supersymmetry breaking. For certain ratios of GUT-scale masses,
determined by the messenger indices, large radiative corrections lead to a
small electroweak scale in a way which resembles the well-known focus point
mechanism. The Fermi scale, the gravitino mass and the higgsino masses are of
comparable size. For a Higgs mass of about 124 GeV all other superparticles
have masses outside the reach of the LHC.
