  We identify a class of supersymmetric SU(4)_c x SU(2)_L x SU(2)_R models in
which imposing essentially perfect t-b-tau Yukawa coupling unification at M_GUT
yields a mass close to 122-126 GeV for the lightest CP-even (SM-like) Higgs
boson. The squark and gluino masses in these models exceed 3 TeV, but the stau
and charginos in some cases can be considerably lighter. We display some
benchmark points corresponding to neutralino-stau and bino-wino coannihilations
as well as A-resonance. The well-known MSSM parameter tan beta is around 46-52.
