The generator matrix 1 0 0 1 1 1 0 1 1 1 1 X X 0 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 X 0 1 0 1 1 0 1 1 X 1 X 1 0 X X X 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 X X 1 1 1 1 0 X X X 0 1 1 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 1 0 X 0 X+1 1 X+1 1 1 0 0 X+1 1 0 X X X+1 1 1 1 X 0 X 1 X+1 X+1 1 X+1 1 0 1 1 0 1 1 X 1 1 1 X 0 0 X+1 X 1 0 0 X 0 X+1 X X X X 0 0 1 1 1 1 1 X+1 0 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 1 X 0 1 1 X+1 X+1 0 X+1 0 1 0 0 1 X 1 1 X 0 X+1 X+1 1 X X 1 1 X 1 0 1 1 0 X 1 X 0 1 0 X X+1 1 X+1 X 1 X X+1 1 X+1 X+1 X+1 1 1 1 1 1 0 X X+1 0 0 1 0 X+1 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X 0 X X 0 X 0 X X X 0 0 X X X 0 X 0 X X 0 X X X 0 X 0 X 0 0 0 X X 0 0 0 X X 0 X 0 0 0 0 X X X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X X 0 X X X 0 0 X X X X 0 X 0 X X X X 0 0 0 0 X X X 0 X 0 X X X 0 X X 0 0 0 X X 0 0 0 X 0 0 0 X 0 0 X 0 0 X 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 X 0 0 0 0 X 0 0 0 X X X X X 0 X 0 0 X 0 X 0 X X 0 X X 0 0 X 0 X 0 0 X 0 X X X X X X 0 0 X 0 X X 0 X 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X 0 0 X 0 0 0 0 0 0 X 0 X 0 0 X 0 X X X X 0 0 X 0 0 X X X X 0 0 X 0 X X 0 0 0 X X X 0 X X 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X 0 X 0 0 0 X X X X 0 0 0 0 X X 0 X 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 X 0 0 X X X X X X X X X X 0 X X X 0 X 0 X X X 0 X 0 X 0 0 X X X X 0 X 0 X X 0 X X 0 X X 0 0 X X X 0 X X X generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+99x^68+226x^70+306x^72+228x^74+283x^76+180x^78+227x^80+164x^82+119x^84+70x^86+72x^88+24x^90+33x^92+4x^94+10x^96+2x^100 The gray image is a linear code over GF(2) with n=154, k=11 and d=68. This code was found by Heurico 1.16 in 0.849 seconds.