The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 X 1 0 X 0 1 1 1 X 1 1 1 0 1 1 1 X 1 1 1 0 X 1 1 1 1 1 1 1 0 1 1 1 0 X 1 1 0 1 1 0 1 X 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X 1 X+1 1 1 0 1 0 X+1 0 1 1 0 1 1 1 X+1 0 1 1 X 0 X+1 1 X+1 0 X 1 X 1 X+1 1 1 X X+1 X X X 1 0 1 0 1 0 1 1 X+1 1 1 X X+1 1 X 0 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 0 X 0 X 0 X X X 0 X X 0 0 0 0 0 X X 0 X X 0 X X 0 0 0 X 0 X X X 0 X X 0 0 0 X 0 0 0 0 X X 0 X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X X X 0 X 0 X X 0 X 0 X X X X 0 X 0 X 0 X X X 0 X X 0 0 0 0 0 0 X X 0 0 0 0 X 0 0 X X X 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 0 0 X X X X X X 0 X 0 X 0 0 0 X X X 0 0 X 0 X 0 X X 0 X X 0 X X 0 X 0 X 0 X 0 X 0 0 X X 0 X X 0 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X X X X X 0 X X X X X X X 0 X 0 X 0 X X X 0 X X X X X 0 X X X X X X 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X X X 0 0 X 0 X X X 0 X 0 X X X 0 X 0 X X X X 0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 0 X X 0 X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 0 0 X X X 0 0 0 X 0 X X 0 X 0 0 X 0 0 X 0 X X X 0 0 0 X X X X X X 0 X X 0 X 0 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 0 X 0 X X 0 X 0 0 0 0 0 X X X X 0 X 0 X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X X 0 X X 0 X X X X X X X 0 0 0 X X 0 0 X X 0 X 0 0 X X 0 0 X X 0 0 0 0 0 X 0 X 0 X 0 X X 0 X 0 X X X X X X 0 0 0 0 generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+100x^64+64x^66+298x^68+238x^70+482x^72+356x^74+589x^76+412x^78+533x^80+296x^82+325x^84+166x^86+132x^88+4x^90+60x^92+28x^96+7x^100+4x^104+1x^108 The gray image is a linear code over GF(2) with n=154, k=12 and d=64. This code was found by Heurico 1.16 in 3.93 seconds.