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 X 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 X 1 1 X 1 1 1 1 X 1 X 1 1 1 1 X X 1 X 1 1 X 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X X 0 X 0 0 0 0 0 X 0 X X X X 0 0 0 X X X 0 X X 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X 0 X X 0 X 0 0 X 0 0 X X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 X X 0 X 0 0 0 0 0 0 X X 0 0 0 X X X 0 0 X X X 0 X 0 X X X X 0 X X X X 0 X 0 0 X 0 X X 0 X 0 X X X 0 X 0 X X 0 0 0 X X X 0 0 0 X 0 0 0 0 0 X 0 X 0 X X 0 0 0 X 0 0 0 X X 0 X 0 X 0 X X X 0 X X 0 0 0 X 0 X X 0 0 X X X 0 X X 0 X X 0 X 0 0 0 X 0 0 0 0 X X 0 X X X X 0 X X X X 0 X 0 0 0 0 X 0 0 0 0 X 0 0 0 0 X X 0 0 0 0 X X X X 0 X X 0 X 0 0 X 0 X X 0 0 X 0 X X X X X 0 0 X X X 0 0 0 0 0 0 0 X 0 X X 0 X X X X 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X X X 0 X X X 0 X X X X 0 X 0 0 0 X X X X X X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 X 0 0 X 0 0 0 0 X X 0 0 X 0 X 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X X X X X 0 X X X 0 0 X X X X X 0 0 X X 0 X 0 0 X X X 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 0 X X X 0 X 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 X X X X 0 X X X X 0 X 0 X X 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 0 X 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 X X X 0 X X 0 0 X 0 X 0 0 X 0 X 0 X X 0 0 X X 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X X X 0 0 X 0 0 X X X 0 0 X X 0 0 0 0 0 X 0 0 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+114x^68+6x^70+165x^72+92x^74+190x^76+120x^78+133x^80+36x^82+80x^84+2x^86+47x^88+30x^92+6x^96+1x^100+1x^132 The gray image is a linear code over GF(2) with n=154, k=10 and d=68. This code was found by Heurico 1.16 in 0.419 seconds.