  We study the charmonium spectrum on an ensemble with two heavy dynamical
quarks with a mass at half the physical charm quark mass. Operators for
different quantum numbers are used in the framework of distillation with
different smearing profiles to increase the overlap with ground and excited
states. The use of exact distillation, large statistics and the absence of
light quarks gives robust results for the charmonium spectrum. We also present
preliminary results for the glueball spectrum in this theory.
