The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 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 X X X 0 X X 0 0 1 1 0 1 1 X+1 0 1 0 X+1 1 0 X+1 1 0 1 1 0 X+1 1 0 1 1 X X+1 1 X X+1 1 X X+1 1 X X+1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 0 0 0 0 0 0 0 X X X X X X X X X+1 X+1 X+1 X+1 X+1 1 X+1 1 X+1 1 1 1 X+1 1 1 1 0 0 0 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 0 X X X X X 0 0 0 X X X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 X X X X X X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X 0 0 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 X X X X 0 X 0 0 0 X X X 0 X 0 0 0 X X 0 0 0 X X X X X X 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X X X X 0 0 0 0 X X X X 0 0 0 0 X X X 0 X 0 0 X X 0 0 X X 0 0 0 X X 0 X X 0 0 X 0 0 0 0 0 0 X 0 X X X X 0 X X 0 X 0 X 0 X X X 0 0 0 0 X 0 X 0 X 0 X 0 X 0 X X X X 0 0 0 X X X 0 0 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 0 X X X X 0 0 0 0 X X 0 X X 0 0 X X X 0 0 X 0 generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+16x^89+16x^90+32x^91+24x^92+12x^94+7x^96+16x^97+3x^102+1x^134 The gray image is a linear code over GF(2) with n=184, k=7 and d=89. This code was found by Heurico 1.16 in 1.91 seconds.