  We perform a Bayesian analysis in the basis of a recently developed
two-parameter class of hybrid equations of state that allow for high-mass
compact star twins. While recently a wide range of radii, from 9 - 15 km, has
been inferred for different neutron stars using different techniques, we
perform our analysis under the supposition that the radii are towards the large
end ($13-15$ km). We use this radius constraint together with the undebated
statistically independent constraint for high masses ($\sim 2~M_\odot$) as
priors in selecting the most probable hybrid equations of state from a family
with two free parameters: the baryon excluded volume in the hadronic phase and
the 8-quark vector channel interaction in the quark matter phase.
