The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 1 0 0 X 1 1 X X 1 1 1 1 1 1 0 0 1 1 0 X 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 X 1 1 X 1 X 1 0 X 1 0 1 1 0 0 1 1 X 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 1 0 1 1 0 X 1 X X+1 X 0 X+1 1 0 X 1 X 0 1 1 X+1 1 1 X+1 X 1 X X+1 0 X 1 1 X 0 1 X+1 1 X X X 1 X+1 1 0 1 1 1 X 1 X+1 1 1 1 X 1 0 X+1 0 1 X X 1 X 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X X+1 1 0 1 X 1 1 1 0 X X+1 X+1 X+1 1 1 X+1 X+1 X 0 X X+1 X X X+1 X X+1 1 X+1 1 0 1 X 0 X+1 0 1 X 1 1 X X+1 1 1 X X 1 X 1 X X X+1 X+1 1 X+1 X X 0 X+1 0 X 0 X+1 X+1 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X 0 X 0 0 X X X 0 0 X X 0 X 0 0 X 0 0 X 0 0 0 X X 0 0 0 X X 0 X X 0 0 0 0 X 0 X X 0 0 X X 0 0 0 0 X X 0 X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 0 X 0 0 X X 0 0 0 0 X 0 X X 0 0 X 0 X X X 0 0 0 0 0 0 0 X X 0 X 0 0 X 0 X X X X 0 X X X X 0 X X 0 X 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X X X 0 X 0 X 0 X 0 0 X X X 0 X 0 0 X X X X 0 X 0 X X X X 0 0 X X X X X 0 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X 0 0 X 0 X X X X X X 0 0 X X X 0 X X X 0 0 X X 0 0 X 0 0 X 0 X X X 0 0 X X X X X X 0 X 0 0 X X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 0 X X X 0 X 0 X 0 0 X 0 X X X X X 0 0 0 0 0 X X X X 0 X 0 0 0 0 0 X 0 X 0 0 0 X X X X 0 0 X 0 X 0 X 0 X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X 0 0 X X 0 X X 0 0 0 0 0 X 0 0 0 X X X X 0 0 X X X X X 0 X 0 X X X 0 X X 0 X X X 0 X 0 X X X 0 X X 0 X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X 0 X 0 0 X X X 0 0 X X X 0 X X 0 X X 0 X X X 0 0 X X X X 0 X 0 0 X X 0 X 0 X 0 0 0 0 0 X 0 X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 X X 0 X X 0 X X 0 X X 0 X 0 0 0 X X X 0 X 0 X X X X 0 0 X 0 X X 0 0 0 X X X X 0 X 0 X 0 X X 0 X 0 0 generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+12x^69+84x^70+92x^71+227x^72+194x^73+334x^74+384x^75+435x^76+466x^77+559x^78+570x^79+712x^80+852x^81+858x^82+938x^83+886x^84+1092x^85+924x^86+1012x^87+919x^88+778x^89+716x^90+724x^91+543x^92+506x^93+379x^94+306x^95+239x^96+160x^97+175x^98+66x^99+96x^100+36x^101+50x^102+4x^103+28x^104+12x^106+8x^108+4x^110+2x^112+1x^114 The gray image is a linear code over GF(2) with n=170, k=14 and d=69. This code was found by Heurico 1.16 in 82.9 seconds.