  We construct all the irreducible representations of spin quiver Hecke
algebras for orthosymplectic Lie superalgebras $osp(1|2n),$ and show that their
highest weights are given by the dominant words. We use the dominant Lyndon
words to construct the cuspidal modules and show that the irreducible
representations are the simple heads of standard representations constructed by
induction from the cuspidal modules.
