  We compute hybrid static potentials in SU(3) lattice gauge theory using a
method to automatically generate a large set of suitable creation operators
from elementary building blocks. This method allows to find sets of creation
operators, which generate trial states with large ground state overlaps for all
investigated angular momentum and parity sectors. We present numerical results
for hybrid static potentials with quantum numbers $\Sigma^-_g, \Sigma^+_u,
\Sigma^-_u, \Pi_g, \Pi_u, \Delta_g, \Delta_u$.
