The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X 1 1 1 X 1 X 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 X X X X X X X 0 X X X 0 X X X 0 0 X X X X X X 0 X 0 X X X X X 0 0 X X X X X X 0 0 0 0 0 0 0 X X 0 X X 0 0 X 0 X X 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 X X X 0 X X X 0 X X X X X X 0 0 X X X X X X 0 0 X X X X X X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 X X X X X X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X 0 X X 0 0 X X 0 X X 0 0 X 0 0 X X 0 0 X X X 0 0 X X 0 0 0 0 0 X X X X 0 0 0 0 X X X X 0 0 0 0 0 X X X 0 X X X 0 0 0 X 0 0 X X 0 0 0 X 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X X X X 0 0 X X X X X X X X 0 0 X X X X X X 0 0 X X 0 0 0 X X 0 0 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 0 0 0 0 X 0 X X X 0 0 0 0 X X X X 0 0 0 X X X X 0 0 0 X X X X X 0 X X X 0 X X 0 0 X X 0 0 0 0 0 0 X X X 0 0 X 0 X 0 X X 0 0 X 0 0 X X 0 0 0 0 X X 0 0 X 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 X X 0 X X 0 X X X 0 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 0 0 0 X X X X X 0 X 0 0 X 0 X 0 X X X 0 0 X 0 X 0 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 X X X X generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+24x^82+51x^84+62x^86+58x^88+30x^90+12x^92+10x^94+5x^96+2x^98+1x^164 The gray image is a linear code over GF(2) with n=174, k=8 and d=82. This code was found by Heurico 1.16 in 0.297 seconds.