  We construct N=4 gauged linear sigma models in two dimensions whose Higgs
branch has a R^8/Z_k orbifold singularity or its generalization. Our linear
sigma models have either ALF or ALE type hyperKahler 8-manifolds as their Higgs
branch. For the ALE case, the matter content of our model is specified by a
quiver diagram which is a union of two A-type extended Dynkin diagrams
overlapping at one link.
