The generator matrix 1 0 0 0 1 1 1 X 0 0 0 1 1 1 1 1 X 0 1 X 1 0 1 1 1 1 0 1 X 0 X X 0 0 X 1 1 1 1 X 1 X 0 X 1 1 0 0 X 1 1 0 1 0 1 1 0 1 0 1 1 X 0 X 1 1 0 X 1 1 0 0 0 1 0 1 1 X X X 1 0 1 0 1 X 0 1 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X 1 X X+1 1 1 0 0 X X X+1 1 1 1 1 1 X X 1 X X 0 X X 1 0 1 X 1 X+1 X+1 X 1 1 X 1 0 X 1 1 0 X 1 1 1 0 X 1 1 0 X+1 X 1 0 1 0 1 1 X 1 1 1 0 X X X+1 1 X 1 0 X 0 0 1 0 0 1 1 1 X 1 X+1 1 1 X 0 X+1 X 0 X+1 1 0 1 1 0 X X 1 X+1 0 0 1 0 1 X+1 1 1 X+1 X+1 0 0 X 0 1 X+1 0 1 1 1 X X+1 1 0 1 X X+1 X+1 1 1 1 X+1 X 1 0 X X+1 1 1 1 0 X+1 1 1 X+1 X X+1 1 1 1 1 1 X X 1 1 1 0 0 0 0 1 1 1 0 1 1 X+1 X 0 1 X+1 X X 1 1 X X 1 0 X+1 X+1 0 0 1 X+1 0 X+1 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 X+1 X X+1 0 X 1 X+1 0 0 1 0 1 0 1 1 X X+1 1 X+1 X X+1 X 0 X 1 1 X+1 1 X X+1 0 0 X X+1 0 0 X X X+1 X 1 X+1 0 1 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X 0 X 0 X X 0 0 X X 0 0 0 X 0 X 0 X X 0 X 0 X X X 0 0 X X X X X 0 X X 0 0 0 0 0 0 0 X X 0 0 0 X X X 0 X X 0 X X 0 X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X 0 0 X X X X X X X 0 X X X 0 X 0 X X X 0 X 0 X X 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X 0 0 0 0 X 0 X X X X 0 X 0 0 X X X X X X 0 X 0 X X 0 0 X X 0 0 X X X X X X X 0 X 0 0 0 X 0 X 0 X 0 generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+74x^77+93x^78+120x^79+154x^80+118x^81+148x^82+138x^83+140x^84+120x^85+98x^86+126x^87+93x^88+80x^89+83x^90+62x^91+57x^92+48x^93+50x^94+46x^95+38x^96+44x^97+27x^98+16x^99+21x^100+22x^101+11x^102+4x^103+6x^104+6x^105+2x^106+2x^108 The gray image is a linear code over GF(2) with n=172, k=11 and d=77. This code was found by Heurico 1.16 in 0.898 seconds.