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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. It is the isogonal transform of K390 = pK(X50, X6) and the isotomic transform of pK(X7799, X2). It is anharmonically equivalent to the Neuberg cubic. See Table 20. K278 is also related to CL064. 
