  Composite Higgs Models are very appealing candidates for a natural
realization of electroweak symmetry breaking. Non minimal models could explain
the recent Higgs data from ATLAS, CMS and Tevatron experiments, including the
excess in the amount of diphoton events, as well as provide a natural dark
matter candidate. In this article, we study a Composite Higgs model based on
the coset $SO(7)/G2$. In addition to the Higgs doublet, one $SU(2)_L$ singlet
of electric charge one, $\kappa^\pm$, as well as one singlet $\eta$ of the
whole Standard Model group arise as pseudo-Goldstone bosons. $\kappa^\pm$ and
$\eta$ can be responsible of the diphoton excess and dark matter respectively.
