The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 X 1 1 1 X 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 X 1 1 1 1 1 1 X 1 1 1 X X 1 0 X X 0 0 1 1 0 1 1 0 1 1 0 X+1 1 X+1 1 0 0 X+1 1 1 X+1 0 X 0 X X+1 1 0 0 1 1 X 0 1 1 X 0 X+1 X 1 0 0 X+1 X 0 0 1 X+1 1 X X X 0 X 0 X X X 0 1 X X+1 X 0 1 X+1 1 X 0 1 0 X+1 1 0 0 X 0 0 0 0 0 X X X 0 X 0 X 0 X X X 0 X 0 X 0 X X 0 X X 0 0 0 0 X 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X X 0 X 0 X X 0 0 0 X 0 X X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 0 X X X X 0 0 X X 0 X 0 X X 0 X X X 0 0 0 0 X X 0 0 X 0 0 0 X X X X X X X X X 0 X X 0 X X 0 0 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 0 X X X 0 X X X 0 X 0 X 0 0 0 X X X X X 0 X 0 X X 0 0 X 0 0 0 X X 0 X 0 X 0 0 X X X X X X 0 0 X 0 0 X 0 0 0 0 0 X 0 X 0 X X X 0 X 0 0 X 0 0 X X X 0 0 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 X 0 0 X 0 0 X 0 0 0 X 0 X X 0 0 X 0 X X X 0 X X X X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X 0 X X X 0 X 0 X 0 0 X X 0 0 0 X 0 X 0 0 X 0 X X X 0 X 0 X X X 0 0 0 X 0 X X 0 X 0 X 0 0 X X X X 0 0 0 0 X generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+165x^64+166x^68+98x^72+57x^76+17x^80+4x^88+1x^92+3x^96 The gray image is a linear code over GF(2) with n=138, k=9 and d=64. This code was found by Heurico 1.16 in 63.2 seconds.