Board Thread:Theories and Speculation/@comment-27821284-20160218112823/@comment-26369387-20160221201753

Hyūga clan is descended from Hamura, though, the family of main head being the most direct, the same way Senju and Uchiha are descended from Asura and Indra respectively. Also, possessing chakra of Hamura(the one who awaken the Tenseigan), Hinata could potentially awake Tenseigan.

That said, Boruto getting Tenseigan is quite unlikely... Himawari maybe, if Hinata channels Hamura's chakra into her, but otherwise it's quite unlikely.