On the Hilbert scheme of smooth curves of degree 15 and genus 14 in P^5

We denote by Hd,g,r the Hilbert scheme of smooth curves, which is the union of components whose general point corresponds to a smooth irreducible and non-degenerate curve of degree d and genus g in Pr. In this article, we show that H15,14,5 is non empty and reducible with two components of the expected dimension hence generically reduced. We also study the birationality of the moduli map up to projective motion and several key properties such as gonality of a general element as well as specifying smooth elements of each components.