The
phenomenological Minimal Supersymmetric Standard Model (pMSSM) provides a broad
perspective on supersymmetric phenomenology. We have generated two large sets
of pMSSM models with neutralino and gravitino LSPs, with sparticle masses
extending up to 4 TeV. In this talk, I will discuss the implications of
searches for supersymmetry and the Higgs, with particular attention to
naturalness. In particular, we find that while sparticle spectra with
moderately light stops are still allowed, such stops are difficult to find
experimentally because of a wide array of possible cascade decays.