X(2), X(13), X(14), X(395), X(396), X(1989)
six equilateral anticevian points. See table 14.
K278 is the pK with pole and pivot the barycentric product X(1989) of the Fermat points. Hence, it is a member of the class CL007.
It is the only pK which contains all six equilateral anticevian points. See table 14.
K278 is also the locus of point P such that the Euler lines of the anticevian triangle of P and of the reference triangle ABC are parallel (Paul Yiu, private message).
It is tangent at A, B, C to the medians since the isoconjugate of the pivot is the centroid G.
K278 is also related to CL064.