  Pure gravity mediation (PGM), with two free parameters, is a minimalistic
approach to supergravity models, yet is capable of incorporating radiative
electroweak symmetry breaking, a Higgs mass in agreement with the experimental
measurement, without violating any phenomenological constraints. The model may
also contain a viable dark matter candidate in the form of a wino. Here, we
extend the minimal model by allowing the $\mu$-term to be a free parameter
(equivalent to allowing the two Higgs soft masses, $m_1$ and $m_2$, to differ
from other scalar masses) which are set by the gravitino mass. In particular,
we examine the region of parameter space where $\mu \ll m_{3/2}$ in which case,
the Higgsino becomes the lightest supersymmetric particle (LSP) and a dark
matter candidate. We also consider a generalization of PGM which incorporates a
Peccei-Quinn symmetry which determines the $\mu$-term dynamically. In this
case, we show that the dark matter may either be in the form of an axion and/or
a neutralino, and that the LSP may be either a wino, bino, or Higgsino.
