  We study the role of the interaction range on the Hilbert space fragmentation
and many-body scar states considering a spin-1/2 many-body Hamiltonian
describing a generalized Fredkin spin chain. We show that both scar states and
weak fragmentation of the Hilbert space survive for almost any range of the
coupling. Finally we investigate the effects of such structures of the Hilbert
space on the out-of-equilibrium dynamics, triggered by certain initial states,
characterized by either local persistent oscillations or non-uniform stationary
profile of the magnetization.
