  We compute gluelump masses and mass differences using SU(3) lattice gauge
theory. We study states with total angular momentum up to $J = 3$, parity $P =
+,-$ and charge conjugation $C = +,-$. Computations on four ensembles with
rather fine lattice spacings in the range $0.040 \, \text{fm} \ldots 0.093 \,
\text{fm}$ allow continuum extrapolations of gluelump mass differences. We
complement existing results on hybrid static potentials with the obtained
gluelump masses, which represent the limit of vanishing quark-antiquark
separation. We also discuss the conversion of lattice gluelump masses to the
Renormalon Subtracted scheme, which is e.g. important for studies of heavy
hybrid mesons in the Born-Oppenheimer approximation.
