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 1 1 X 0 X 1 1 X 1 1 1 X X 1 0 1 X 0 1 1 1 X X 0 0 1 1 X 0 1 X 1 0 X 0 0 1 0 0 0 X 1 X 1 1 X X 0 1 1 1 1 X 0 1 0 0 0 0 1 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 0 0 1 1 X 1 0 1 X 0 X X X 1 X 1 X+1 1 1 0 X+1 0 1 X 0 0 X X+1 X 1 X 0 0 0 X 1 0 X+1 1 X 1 X X X X+1 1 1 0 X X+1 X+1 1 1 1 0 0 0 1 X X X+1 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 1 1 X+1 0 1 1 1 X 1 0 X 1 1 X+1 X 1 X+1 0 X X+1 1 X+1 1 0 1 1 0 0 0 1 1 1 X 1 1 1 1 0 1 1 X+1 1 X X 1 1 X 1 1 1 1 0 X 1 X X 1 1 1 1 X+1 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 1 X X 0 X X+1 X+1 X+1 1 1 1 X+1 X X+1 X X X+1 1 1 X 0 0 0 1 X X+1 1 X+1 1 0 X+1 0 0 1 X X+1 1 X X+1 0 X+1 X+1 0 1 1 1 X 0 X+1 0 0 1 1 0 1 1 1 1 1 0 X 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 X X X 0 0 0 0 X X X 0 X X 0 X X X X 0 X X 0 0 0 0 X 0 0 0 X 0 X 0 X 0 0 0 X 0 X X X X X X 0 X X 0 0 X 0 0 0 0 X 0 0 0 X X 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 X X X X X X X X X X X X X X X X X X X X 0 X X X X 0 X X X X X X 0 X 0 0 0 X X 0 X 0 0 0 X X X 0 X 0 0 X 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 0 X X X X 0 X 0 0 0 0 X 0 X X X 0 0 0 X X X X 0 X 0 X 0 0 X 0 X 0 0 0 X X X X X 0 X X 0 X 0 0 0 X X X X X 0 generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+113x^80+226x^82+323x^84+268x^86+260x^88+192x^90+154x^92+124x^94+104x^96+90x^98+85x^100+48x^102+32x^104+12x^106+14x^108+2x^112 The gray image is a linear code over GF(2) with n=178, k=11 and d=80. This code was found by Heurico 1.16 in 0.956 seconds.