Dense near polygons with hexes of type HD(5,q2), Q(5,q)×Lq+1 or Q(5,q)⊗Q(5,q)

We determine all dense near 2n-gons, n⩾3, in which each hex is isomorphic to either the dual polar space HD(5,q2), the product near hexagon Q(5,q)×Lq+1 or a glued near hexagon of type Q(5,q)⊗Q(5,q).