  Synchronization is an essential collective phenomenon in networks of
interacting oscillators. Twisted states are rotating wave solutions in ring
networks where the oscillator phases wrap around the circle in a linear
fashion. Here, we analyze Hopf bifurcations of twisted states in ring networks
of phase oscillators with nonpairwise higher-order interactions. Hopf
bifurcations give rise to quasiperiodic solutions that move along the
oscillator ring at nontrivial speed. Because of the higher-order interactions,
these emerging solutions may be stable. Using the Ott--Antonsen approach, we
continue the emergent solution branches which approach anti-phase type
solutions (where oscillators form two clusters whose phase is $\pi$ apart) as
well as twisted states with a different winding number.
