The generator matrix 1 0 0 1 1 1 X 1 1 1 1 0 X 0 1 1 X 1 1 X 0 1 0 1 0 1 1 0 1 1 1 1 1 X 1 0 0 0 X 0 X 1 0 1 0 0 1 1 1 0 X X+1 1 1 1 X 1 0 1 X 1 0 1 1 1 0 X 0 X+1 1 X X 1 X+1 1 0 X 0 1 1 1 0 1 X 0 0 1 1 1 0 1 X X+1 X X+1 X 1 1 1 X 1 1 0 1 X X 1 0 1 1 1 0 1 X+1 1 X+1 X+1 1 1 1 0 1 X+1 1 X+1 X 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 0 X 0 X X 0 X X X 0 X 0 X X 0 X X X 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X 0 X 0 0 X X X X 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X X X 0 X 0 X 0 0 X X 0 X X X X X X 0 X X X X X X X 0 0 generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+58x^37+63x^38+36x^39+68x^40+66x^41+30x^42+12x^43+32x^44+38x^45+29x^46+12x^47+25x^48+22x^49+2x^50+4x^51+8x^53+3x^54+2x^56+1x^62 The gray image is a linear code over GF(2) with n=84, k=9 and d=37. This code was found by Heurico 1.16 in 82.6 seconds.