The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 1 1 0 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 X+1 1 1 0 1 X+1 0 1 X+1 X 1 0 X X+1 1 1 1 0 0 0 X 0 X X X 0 X+1 X+1 1 X+1 X+1 X+1 X+1 X+1 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X 0 X 0 X X X X X X 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 X 0 0 0 X 0 X X 0 0 X 0 X 0 0 X 0 X 0 X X 0 X X 0 0 X X 0 0 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X X 0 0 0 X X 0 0 0 X X 0 0 0 X X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X X 0 0 X X 0 X 0 X X X X X 0 0 X X 0 X X X X 0 X X 0 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 X X X X X 0 0 X X X X 0 0 X X X X X X 0 X 0 X 0 X X 0 generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+44x^36+52x^37+52x^38+16x^39+28x^40+68x^41+16x^42+32x^43+28x^44+60x^45+48x^46+16x^47+25x^48+12x^49+5x^50+4x^54+2x^56+2x^58+1x^66 The gray image is a linear code over GF(2) with n=84, k=9 and d=36. This code was found by Heurico 1.16 in 0.031 seconds.