Nonorientable biembeddings of cyclic Steiner triple systems generated by Skolem sequences

We describe a class of Skolem sequences of order nn such that for the cyclic Steiner triple system of order 6n+16n+1 generated by any Skolem sequence from the class we can construct a bipartite index one current graph generating a nonorientable face 2-colorable triangular embedding of the complete graph K6n+1K6n+1 such that the triangular faces of one of the two color classes form the blocks of the cyclic Steiner triple system.