  We present a model for hybrid compact stars composed of a quark core and a
hadronic mantle with an abrupt first order phase transition at the interface
and in accordance with the latest astrophysical measurements of two 2 M_sun
pulsars. We demonstrate the possibility of a disconnected mass-radius sequence
(third family) of high-mass pulsars as a distinct feature due to a large jump
$\Delta \epsilon$ in the energy density of the first order phase transition
setting in at $\epsilon_{\rm crit}\approx 500$ MeV/fm$^3$ and fulfilling
$\Delta \epsilon/\epsilon_{\rm crit} > 0.6$. We conclude that the measurement
of so called \textit{twin} compact stars at high mass (~ 2 M_sun) would support
the existence of a first order phase transition in symmetric matter at zero
temperature entailing the existence of a critical end point (CEP) in the QCD
phase diagram.
