Fraternal twins, that is non identical twins, can be hereditary, the gene that will cause the female to release multiple eggs at the same time is heredited via an x chromosome. While the father can not himself have hereditary fraternal twins, since obviously he can't release multiple eggs, what he can do if he is a carrier of this gene, is pass it on to his children. Effectively the twin factor from the fathers side of the family will appear to skip a generation as the male can pass the gene onto his daughters who may have a multiple birth.
Identical twins are not hereditary.
Identical twins are not hereditary.