We find: (i) The Lee-Wick type relativistic mean-field theory with finite n
ucleon size effect can reproduce the binding energies for all nuclei over t
he nuclide table quite well. For 1654 nuclei, whose mass numbers range from
16 to 263 and charge numbers range from 8 to 106, the calculated binding e
nergies are near to the corresponding experimental values with a systematic
al deviation of about 5.74%. (ii) The lowering of the calculated nuclear ma
sses, by including Coulomb energy into the variational calculations, is ver
y small.