The aim of this talk is to present a construction of non-Kähler Calabi-Yau spaces that yield new solutions to the Hull Strominger system via the Fu-Yau ansatz. This ansatz involves principal torus bundles over K3 surfaces and was later extended to torus bundles over K3 orbifolds with A1 singularities by Fino, Grantcharov, and Vezzoni.  We extend this construction to K3 orbifolds with arbitrary A singularities, as they appear in Miles Reid’s classification of 95 codimension-1 K3 surfaces in weighted projective space. This is joint work with A. Fino and G. Grantcharov.