  In this article, we determine cocycle deformations and Galois objects of
non-commutative and non-cocommutative semisimple Hopf algebras of dimension
$16$. We show that these Hopf algebras are pairwise twist inequivalent mainly
by calculating their higher Frobenius-Schur indicators, and that except three
Hopf algebras which are cocycle deformations of dual group algebras, none of
them admit non-trivial cocycle deformations.
