I will propose a model for both quraks and leptons based on the $SU(5)$ grand unification and $\mathcal{T}_{13}$, a discrete subgroup of $SU(3)$, family symmetry. It naturally reproduces GUT-scale mass ratios of quarks and charged leptons and their mixing angles, assuming tribimaximal (TBM) seesaw mixing. It predicts normal ordering for light neutrino masses with $m_{\nu_1} = 27.6$, $m_{\nu_2} = 28.9$ and $m_{\nu_3} = 57.8$ $meV$, leptonic CP violation with $\delta_{CP} = 1.32 \pi$, and neutrinoless double beta decay with $|m_{\beta \beta}| = 13.02$ or $25.21$ $meV$. All of these predictions can be tested in near-future experiments like DESI, WFIRST, DUNE, Hyper-K, LEGEND, CUPID etc. in $7$-$10$ yrs.