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 X 0 1 1 0 0 1 X 1 1 1 1 X 1 0 0 1 1 1 X 0 0 1 X 1 1 1 0 X 0 1 1 0 X X 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 X X 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 0 1 1 1 X X 1 1 1 1 X+1 1 0 X X 1 X X X+1 X 1 1 X 1 1 X+1 X X+1 0 1 0 X+1 X 1 X 1 X+1 X 1 1 0 0 1 0 1 X 0 X 0 X 0 0 1 1 1 0 0 X+1 1 1 X 1 0 1 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X 0 X+1 0 1 X+1 1 X+1 X X 0 X+1 1 0 1 1 X 1 1 X X X+1 X 1 X+1 X 0 X+1 X+1 1 1 1 X+1 X X+1 1 X+1 0 X 0 1 1 X+1 X 1 0 X 1 0 1 1 X X+1 1 X X+1 X 1 X X X 1 X+1 1 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 0 X X X X 0 X 0 0 X 0 0 X X 0 0 X X X 0 0 0 X 0 0 0 X 0 0 X X 0 0 X X 0 0 X X X 0 0 0 X 0 0 X 0 0 0 0 0 X X X 0 X 0 X 0 0 0 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 0 0 X 0 X 0 X X 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X X X 0 X X X X 0 0 0 0 X 0 X X 0 0 0 X X X 0 X X X 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X 0 0 0 X 0 X 0 X 0 0 0 X X 0 X X 0 X 0 0 X 0 X 0 0 X X X X X 0 0 X X X X 0 0 X 0 0 0 X X 0 0 0 X X 0 0 X X 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 0 X 0 0 0 0 0 0 X 0 X X X X X X X X X X 0 X 0 X X 0 X X X 0 X 0 X X 0 0 0 0 X 0 0 X X X 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X X X X 0 X 0 0 X 0 0 X 0 X 0 0 X 0 0 X 0 0 0 0 0 X 0 X X X X X X X X X X X 0 X 0 X 0 0 0 0 0 0 X X 0 0 X 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X X X 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 0 0 X X X 0 X 0 0 0 0 0 X 0 0 0 X 0 X X X X X X X 0 0 X 0 X 0 0 0 0 X X 0 X X X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 X X 0 0 0 0 X X X X X X 0 X X X X X 0 X 0 0 X X 0 0 X 0 0 0 X X 0 0 X X 0 0 X X 0 X 0 0 0 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 X X X X X X X 0 X X 0 0 X 0 X 0 0 X X X 0 0 X 0 0 X X X 0 0 X 0 X 0 0 0 0 X X 0 0 0 X X X X 0 0 X X 0 X 0 X X X 0 X X X 0 X X 0 generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+42x^70+28x^71+168x^72+106x^73+257x^74+266x^75+382x^76+436x^77+537x^78+574x^79+626x^80+756x^81+809x^82+906x^83+863x^84+958x^85+885x^86+1026x^87+882x^88+986x^89+783x^90+798x^91+667x^92+624x^93+469x^94+370x^95+339x^96+192x^97+205x^98+110x^99+125x^100+30x^101+73x^102+18x^103+30x^104+8x^105+24x^106+11x^108+10x^110+2x^112+2x^114 The gray image is a linear code over GF(2) with n=172, k=14 and d=70. This code was found by Heurico 1.16 in 56.1 seconds.