Nope not an inuit or basenji.
Hmmm I had read about them in lectures but with more research done now they appear to be more unusual than I thought....should I give more clues in a few more guess'?
Norwegian Lundehund it is.
We had a good portion of a lecture based on a unique Gi issue the breed has.....turns out they are one of the most rare breeds in the world...sigh....well that lecture is going to be super useful to general practice!