  The spectrum of excitations of triply-charmed baryons is computed using
lattice QCD including dynamical light quark fields. Calculations are performed
on anisotropic lattices with temporal and spatial spacings a_t = 0.0351(2) and
a_s ~ 0.12 fm respectively and with pion mass of about 390 MeV. The spectrum
obtained has baryonic states with well-defined total spin up to 7/2 and the
low-lying states closely resemble the expectation from models with an SU(6)X
O(3) symmetry. Energy splittings between extracted states, including those due
to spin-orbit coupling in the heavy quark limit are computed and compared
against data at other quark masses.
