  We consider continuous-time random walks on a random locally finite subset of
$\mathbb{R}^d$ with random symmetric jump probability rates. The jump range can
be unbounded. We assume some second--moment conditions and that the above
randomness is left invariant by the action of the group
$\mathbb{G}=\mathbb{R}^d$ or $\mathbb{G}=\mathbb{Z}^d$. We then add a
site-exclusion interaction, thus making the particle system a simple exclusion
process. We show that, for almost all environments, under diffusive space-time
rescaling the system exhibits a hydrodynamic limit in path space. The
hydrodynamic equation is non-random and governed by the effective homogenized
matrix $D$ of the single random walk, which can be degenerate. The above result
covers a very large family of models including e.g. simple exclusion processes
built from random conductance models on $\mathbb{Z}^d$ and on crystal lattices
(possibly with long conductances), Mott variable range hopping, simple random
walks on Delaunay triangulations, random walks on supercritical percolation
clusters.
