  We continue our investigation of the phenomenological consequences of the
MCPM for the LHC experiments. As in any two-Higgs-doublet model we have in the
MCPM three neutral Higgs bosons and one charged Higgs-boson pair $H^\pm$. Here
we discuss the two-photon production in proton-proton collisions. We find that
in the MCPM a resonance-type structure in the $\gamma\gamma$ invariant mass
distribution is predicted around twice the $H^\pm$ mass $m_{H^\pm}$ with a
width $2\; \Gamma_H$ where $\Gamma_H$ is the $H^\pm$ width. If we set
$m_{H^\pm} = 375$ GeV, the above resonance structure appears at 750 GeV with a
width of about 45 GeV. We point out various predictions of the MCPM which
follow in such a scenario and which can be checked at the LHC.
