The generator matrix

1 0 0 0 1 1 1 0 X 1 1 1 1 X 0 0 1 1 0 X 1 X 1 0 1 0 1 1 X 1 1 1 1 0 X 0 X 1 X 0 1 1 1
0 1 0 0 0 0 X X 1 1 1 1 X+1 1 1 X 0 1 1 1 0 0 X X 1 1 X+1 X+1 1 1 X+1 0 1 X 1 1 X 1 1 1 0 1 X+1
0 0 1 0 0 1 1 1 0 1 X+1 X X X+1 1 0 X+1 1 X X+1 X 1 X 1 0 X+1 X+1 0 X+1 0 X X+1 0 1 X X+1 1 X+1 1 0 1 1 1
0 0 0 1 1 X 1 X+1 1 X+1 X 0 X+1 0 1 1 0 X+1 0 X X X+1 1 X 1 X+1 0 X 0 0 X+1 1 0 X X+1 0 0 X X X+1 1 1 1
0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X 0 0 X X X X 0 0 0 0 0 X X 0 X X 0 0

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+39x^38+60x^39+60x^40+84x^41+48x^42+38x^43+46x^44+14x^45+16x^46+18x^47+13x^48+26x^49+12x^50+10x^51+6x^52+2x^53+13x^54+2x^55+2x^56+2x^57

The gray image is a linear code over GF(2) with n=86, k=9 and d=38.
This code was found by Heurico 1.10 in 0 seconds.