  Exotic and higher spin (> 1) mesons are still not throughly investigated in
lattice QCD. Using a set of derivative based operators we report our
exploratory study of these mesons in charmonium region. We use a 12^3 X 48
anisotropic (xi = 3) clover lattice with inverse temporal lattice spacing a^-1
= 6.05 GeV. Techniques developed in this exploratory study will be utilized in
our future comprehensive study of light hybrid mesons that are to be explored
in the 12 GeV GlueX experiment at Jefferson Laboratory.
