The generator matrix 1 0 0 1 1 1 0 1 1 0 1 X 1 X 1 X X 1 1 0 1 X X 1 1 1 1 0 1 1 1 0 1 X 1 X 1 0 1 0 0 1 1 1 1 1 0 X 1 1 0 1 1 1 0 0 0 X X X 1 1 X 1 1 1 1 0 1 1 1 1 1 X X 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 X 0 X+1 1 X+1 1 1 1 X 1 0 1 X 0 1 1 X+1 0 1 1 X X+1 0 1 0 0 X+1 X X 1 X 1 X X X+1 1 X+1 0 1 1 X+1 X 1 0 X+1 1 1 1 0 1 1 1 X 1 1 X 0 1 X+1 0 X 1 1 X+1 1 1 1 0 0 1 1 X X+1 0 0 0 1 1 1 0 1 0 1 1 X+1 1 X X X+1 X+1 1 X 0 0 X+1 1 1 X+1 X 0 1 X 1 0 0 0 X+1 1 0 1 1 X X X 1 1 1 X+1 X 1 X+1 1 X X+1 X+1 1 0 0 0 X 1 X 0 X+1 1 X+1 1 0 1 1 X 1 0 X+1 X+1 1 X+1 X+1 0 1 X 0 0 1 X 0 0 0 0 X 0 0 0 0 0 X X 0 0 X X 0 X X X X 0 X X 0 0 0 0 X 0 X X 0 X X 0 X 0 0 X 0 X X 0 X X X X 0 X X X 0 X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X X X X X 0 X X X 0 X X X X X X X 0 0 0 X X 0 0 X 0 X 0 0 0 0 X 0 X X 0 0 X 0 0 0 X X X 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X X 0 X 0 X 0 0 0 0 X 0 0 X X X X 0 X 0 X 0 0 X X 0 0 0 X X X 0 0 0 X 0 X 0 0 X X 0 0 X 0 X X 0 0 0 X X 0 X X 0 X X X 0 0 X X 0 0 X 0 X X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 0 X 0 0 0 0 X X X X X 0 0 X X 0 0 X 0 X X X X 0 X 0 X 0 0 0 X 0 X 0 0 X X 0 X X X 0 X X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X 0 0 X X X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X X 0 X X 0 X 0 0 X 0 X X X X 0 X X X 0 X X 0 X 0 X X X X 0 0 0 0 X 0 0 X 0 X 0 X 0 0 X 0 X X 0 X 0 X 0 X X 0 0 0 X X X X X X 0 0 0 generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+27x^72+48x^73+90x^74+102x^75+134x^76+156x^77+146x^78+136x^79+129x^80+120x^81+113x^82+118x^83+83x^84+82x^85+65x^86+92x^87+65x^88+64x^89+55x^90+46x^91+50x^92+32x^93+26x^94+12x^95+16x^96+8x^97+13x^98+6x^99+5x^100+2x^101+3x^102+2x^104+1x^106 The gray image is a linear code over GF(2) with n=164, k=11 and d=72. This code was found by Heurico 1.16 in 0.908 seconds.