  Glueball masses with J<=7 are computed both for C=+1 and C=-1 using the
string Hamiltonian derived in the framework of the Vacuum Correlator Method. No
fitting parameters are used, and masses are expressed in terms of string
tension $\sigma$ and effective value of $\alpha_s$. We extend the calculations
done for J<=3 using the same Hamiltonian, which provided glueball masses in
good agreement with existing lattice data, to higher mass states. It is shown
that 3^{--}, 5^{--} and 7^{--} states lie on the odderon trajectories with the
intercept around or below 0.14. Another odderon trajectory with 3g glueballs of
Y-shape, corresponds to 11% higher masses and low intercept. These findings are
in agreement with recent experimental data, setting limits on the odderon
contribution to the exclusive $\gamma p$ reactions.
