The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X X X X X X 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X 0 X X 0 X X X 0 X X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 X X X 0 X 0 0 0 0 X X X X 0 X X 0 X 0 X X 0 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X 0 0 X X 0 X X X X X 0 X X X X 0 X 0 X X X X 0 X 0 0 0 X 0 0 0 0 X X X X 0 X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X 0 0 0 X 0 X X X X 0 0 X 0 X 0 X X 0 X X 0 0 0 X X X 0 X 0 X 0 0 X 0 0 0 X X 0 0 0 X X X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X 0 X X 0 X X X X X X 0 X X 0 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 X X 0 X X X X X X 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X X X 0 X 0 0 0 0 0 X X 0 X X X X 0 0 0 X X X 0 X X 0 X X 0 X X X 0 X 0 0 0 0 0 X X 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 0 X X 0 X 0 X X X X 0 X 0 X X X 0 X X 0 0 0 0 X 0 0 X 0 X X 0 0 X 0 0 0 0 X 0 X 0 X 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X 0 X X 0 0 0 0 0 X X X X 0 0 0 X X 0 0 0 X 0 X X 0 0 0 0 0 X X X 0 0 0 X X X 0 X X 0 X 0 X X 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 0 X X 0 0 X 0 X X 0 0 0 0 0 0 X X X X 0 0 X X X 0 X 0 0 0 X X 0 0 0 X 0 0 X 0 X X X X 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X X 0 0 X 0 X X 0 X 0 0 0 X 0 0 0 X 0 0 0 X X X 0 0 X X X 0 X 0 X 0 X 0 X X 0 X X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 0 X X 0 0 0 X X 0 0 0 X 0 X X X 0 X 0 X X X X 0 0 X 0 X X 0 0 X 0 0 0 X X X X X 0 X 0 X 0 0 X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 X X 0 0 X 0 X X 0 X 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 0 0 0 X X X 0 0 0 0 X X X 0 X X 0 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+184x^60+600x^64+915x^68+80x^70+1457x^72+960x^74+2945x^76+2016x^78+3013x^80+960x^82+1567x^84+80x^86+887x^88+491x^92+174x^96+42x^100+11x^104+1x^136 The gray image is a linear code over GF(2) with n=156, k=14 and d=60. This code was found by Heurico 1.16 in 81.2 seconds.