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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 X 1 1 X 1 X 1 X X 1 1 0 X 0 0 0 0 0 0 0 X X X 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 X 0 0 X 0 X X X X 0 0 X X 0 X X 0 0 0 X 0 X 0 0 X 0 0 X X X X 0 0 0 X 0 X X 0 0 X 0 X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 X X X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 X X X X X X X 0 X 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 X X X X X X X X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 0 0 0 0 X X X X X 0 X 0 X X X X 0 X 0 X X 0 X 0 X X 0 X 0 0 0 0 0 0 X X X X X X X X X X X 0 X X X X X X 0 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 X 0 X X X 0 0 X X 0 0 X X X X X 0 0 0 X 0 0 0 0 X 0 X X X 0 X 0 X X X X X X X 0 X X X X 0 X X X X 0 0 X 0 0 0 0 0 X X X 0 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 0 X X 0 0 0 X X X X 0 X 0 X X X X X X X X X X X 0 0 X X X X 0 0 0 X 0 0 0 0 X X 0 X 0 X 0 0 0 X X 0 X 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 0 X X 0 X X X 0 0 0 X X 0 0 0 0 X X 0 0 0 X X X 0 X 0 0 X 0 0 X X X 0 X 0 X 0 X X 0 0 X 0 0 X 0 X X X X 0 0 X 0 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 0 X X 0 X X 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 X X X 0 0 0 X 0 X X 0 0 0 X X 0 X X 0 0 0 X X 0 0 0 X X X X X 0 0 0 X 0 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+26x^68+98x^72+40x^74+108x^76+80x^78+86x^80+8x^82+40x^84+14x^88+9x^92+1x^96+1x^140 The gray image is a linear code over GF(2) with n=154, k=9 and d=68. This code was found by Heurico 1.16 in 0.125 seconds.