The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 2 1 1 1 1 2 0 1 1 0 1 1 2 0 2 2 1 1 1 1 2 0 2 2 1 2 2 2 1 1 0 1 0 2 0 1 1 0 1 0 1 0 1 1 0 0 2 1 2 1 1 1 2 0 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 1 3 0 2 0 1 1 0 3 1 3 2 0 2 1 2 2 3 0 3 3 1 2 2 1 3 1 3 2 1 0 2 1 3 2 1 1 3 2 1 0 0 2 0 1 0 1 0 0 3 1 0 0 2 1 1 2 2 1 2 1 1 1 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 3 2 1 1 3 0 1 2 1 0 2 2 1 0 1 0 2 0 1 2 3 2 1 2 2 1 1 0 3 3 1 2 2 1 2 1 3 2 0 0 1 3 3 1 1 2 0 3 2 3 1 3 1 3 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 3 3 1 3 0 3 2 1 3 2 2 1 0 3 0 3 0 3 1 0 1 0 1 1 0 3 2 3 3 3 1 2 1 2 3 1 2 0 3 3 1 1 0 1 0 3 1 3 1 2 0 2 2 1 2 2 3 1 3 2 0 3 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 0 0 0 generates a code of length 78 over Z4 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+171x^66+402x^68+624x^70+708x^72+886x^74+895x^76+925x^78+952x^80+795x^82+722x^84+476x^86+309x^88+184x^90+91x^92+21x^94+13x^96+12x^98+2x^100+2x^102+1x^104 The gray image is a code over GF(2) with n=156, k=13 and d=66. This code was found by Heurico 1.16 in 13.1 seconds.