The generator matrix 1 0 0 1 1 1 0 1 1 X 0 1 0 1 0 X 1 1 1 1 X X 1 1 1 X 1 0 0 1 1 1 1 X 0 1 1 1 1 X X 1 0 1 1 1 1 1 X 1 X 1 X 1 X 1 1 1 1 1 1 1 X 1 1 1 1 0 0 1 0 0 X 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 X 0 1 1 1 1 1 0 X X X+1 X+1 1 1 0 1 X 1 1 X 1 1 X X+1 0 1 1 0 1 1 X 1 0 0 1 1 1 X X 1 1 X 0 0 1 1 1 1 X+1 X+1 1 X+1 X+1 1 1 X+1 X+1 0 X 0 1 1 1 X 1 1 0 X X 1 1 1 0 0 1 0 0 0 1 1 1 0 1 X 1 1 X X X+1 1 X 1 1 X X+1 X X+1 X 0 0 1 X+1 X+1 1 0 X+1 1 X X X X X+1 X 0 1 1 1 1 1 X+1 1 X+1 0 0 1 X+1 1 0 X 1 0 0 0 X+1 X+1 X+1 0 X X X+1 1 0 X 1 0 X+1 X 1 X X+1 0 X+1 X+1 X X 0 X 1 0 X+1 0 0 0 X 0 0 0 0 0 0 X X X X 0 0 0 X 0 0 0 0 X X X X X 0 0 X 0 0 X X X 0 X 0 X 0 X X 0 X X 0 0 X X X 0 X X 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X X 0 0 X 0 0 X X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 0 X 0 0 X X X 0 X X X 0 0 X X X 0 X 0 0 X X X 0 0 X X X 0 X 0 0 0 X X 0 X 0 X X X 0 0 X X 0 0 0 X X 0 0 X X 0 X 0 X 0 0 0 X X 0 0 X 0 0 0 0 0 X 0 0 X X 0 0 X X X X X 0 X 0 X 0 0 X 0 0 0 0 X 0 0 X 0 0 0 X X X X X X 0 X X 0 0 0 0 0 X 0 X X 0 0 0 X X X 0 X X X X X X X X X 0 0 0 X 0 X 0 X 0 X X X X 0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 X X X X X 0 X 0 0 X 0 0 X 0 X X X X 0 X X X 0 X 0 X 0 0 X X X X X 0 0 0 X 0 0 0 X 0 X X X 0 0 0 0 X X X 0 X 0 0 X X 0 X 0 X 0 generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+64x^77+112x^78+84x^79+58x^80+92x^81+119x^82+68x^83+25x^84+48x^85+81x^86+48x^87+22x^88+24x^89+31x^90+26x^91+12x^92+16x^93+16x^94+14x^95+7x^96+12x^97+15x^98+10x^99+3x^100+7x^102+6x^103+3x^106 The gray image is a linear code over GF(2) with n=168, k=10 and d=77. This code was found by Heurico 1.16 in 78.8 seconds.