Projective manifolds of sectional genus three as zero loci of sections of ample vector bundles

Let E be an ample vector bundle of rank r \geq 2 on a smooth complex projective variety X of dimension n such that there exists a global section of E whose zero locus Z is a smooth subvariety of dimension n-r \geq 2 of X. Let H be an ample line bundle on X such that the restriction H_Z of H to Z is very ample. Triplets (X,E,H) with g(Z,H_Z)=3 are classified, where g(Z,H_Z) is the sectional genus of (Z,H_Z).