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 X 0 1 1 1 1 0 X 1 1 1 1 0 1 0 X 1 X 0 1 1 0 1 1 X 1 1 X 1 1 0 X 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 X X 1 X 1 X 0 1 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 1 X+1 0 X 0 X X+1 0 X+1 X 0 X+1 1 0 0 1 1 X+1 X 1 0 1 1 X+1 X 1 0 X 0 1 X 0 0 X X 0 X X 0 1 1 1 1 1 1 1 X+1 1 X 0 1 1 1 X X 1 1 0 1 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 X 0 X+1 0 0 1 1 1 0 0 X+1 1 1 X+1 X+1 1 0 X X+1 0 X+1 0 1 0 X+1 X+1 X+1 X 0 0 1 1 X+1 X+1 1 X 0 X 1 1 1 0 X X 1 1 X+1 X+1 0 X 1 X+1 1 1 0 1 X X+1 X 1 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 X 0 X X X X 0 X 0 0 0 0 X X X X X X 0 0 0 X 0 X X 0 X 0 0 0 X 0 X 0 X X X 0 0 X X 0 X X 0 X X 0 0 0 0 0 0 0 X 0 0 X 0 0 X 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 X 0 0 X X 0 X 0 X 0 X 0 X X 0 0 X X X X X 0 X X X 0 0 X 0 X X 0 0 X 0 X 0 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X 0 X 0 X X 0 0 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 X 0 0 0 X X 0 X X 0 X 0 X X X 0 X X 0 0 0 0 X 0 X X X 0 0 X 0 0 0 X X X X 0 X 0 0 0 X 0 X X 0 X 0 0 X X 0 X X X X X X X 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 X 0 0 0 0 X 0 0 X X 0 X X 0 0 0 X 0 0 X 0 X X 0 X 0 0 X 0 X X X X 0 0 0 0 X X X 0 X 0 X X X X X 0 X X 0 X 0 0 X 0 X X 0 0 generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+133x^82+155x^84+239x^86+93x^88+92x^90+64x^92+84x^94+15x^96+27x^98+45x^100+53x^102+11x^104+12x^106 The gray image is a linear code over GF(2) with n=178, k=10 and d=82. This code was found by Heurico 1.16 in 0.513 seconds.