  In certain models of gauge-mediated supersymmetry breaking with messenger
fields in incomplete GUT multiplets, the radiative corrections to the Higgs
potential cancel out during renormalization group running. This allows for
relatively heavy superpartners and for a 125 GeV Higgs while the fine-tuning
remains modest. In this paper, we show that such gauge mediation models with
"focus point" behaviour can be naturally embedded into a model of SU(5) x U(3)
product group unification.
