Rank two globally generated vector bundles with $c_{1}\leq5$

We classify globally generated rank two vector bundles on $\mathbb{\boldsymbol{P^{n}\mathrm{,\mathrm{n\geq3}}}}$, with $c_{1}\leq5$. The classification is complete but for one case ( $n=3,c_{1}=5,c_{2}=12$).