  Recently, the HESS telescope has observed a gamma-ray spectrum from the
galactic center extending to at least $\sim$10 TeV. Although it has been
suggested that this could be the product of annihilating dark matter particles,
the candidates most frequently discussed (such as neutralinos) are far too
light to account for this flux. In this letter, we consider stable particles
from the messenger sector of gauge mediated supersymmetry breaking models as an
alternative dark matter candidate. We find that a 20 to 30 TeV messenger state
can provide a thermal relic density consistent with the measured dark matter
density of the universe and can indeed generate the spectrum observed by HESS.
