  We study the process gg -> b bbar H+ H- at large tan(beta), where it
represents the dominant production mode of charged Higgs boson pairs in a Type
II 2-Higgs Doublet Model, including the Minimal Supersymmetric Standard Model.
The ability to select this signal would in principle enable the measurements of
some triple-Higgs couplings, which in turn would help understanding the
structure of the extended Higgs sector. We outline a selection procedure that
should aid in disentangling the Higgs signal from the main irreducible
background. This exploits a signature made up by `four b-quark jets, two
light-quark jets, a tau-lepton and missing energy'. While, for tan(beta) \gsim
30 and over a significant M_H+/- range above the top mass, a small signal
emerges already at the Large Hadron Collider after 100 fb^{-1}, ten times as
much luminosity would be needed to perform accurate measurements of Higgs
parameters in the above final state, rendering this channel a primary candidate
to benefit from the so-called `Super' Large Hadron Collider option, for which a
tenfold increase in instantaneous luminosity is currently being considered.
