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  0  1  1  1  1  1  1  1  1  1  X  1  0  X  1  1  0  X  0  1
 0  1  1  0  1  1  0 X+1  1  1  0  1 X+1  0  1  X X+1  1  0 X+1  0 X+1  1  1  X  0  0  0  X  X X+1  X  0  1 X+1  1  X  0  X  1  1  1  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  X  X  0  0  X  X  X  0  X  X  X  0  0  X  0  X  0  X  0  0  X  0  X  0  X  X  0  0
 0  0  0  X  0  0  0  X  0  X  X  0  0  X  0  0  X  0  X  0  0  X  X  X  0  X  0  X  0  0  X  X  X  X  X  X  0  X  X  X  X  X  0
 0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  0  0  X  X  0  X  X  0  X  X  0  0  0  0  X  0  0  0  X  0  X  X  X  0  X  0  0
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  0  X  0  X  X  X  0  0  X  0  0  X  X  X  X  0  X  X  X  0  X  0  X  X  0  0  0  0
 0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  X  X  X  0  X  0  X  X  0  0  0  0  0  X  X  X  0  X  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 37.

Homogenous weight enumerator: w(x)=1x^0+40x^37+45x^38+40x^39+47x^40+32x^41+70x^42+32x^43+40x^45+56x^46+40x^47+12x^48+16x^49+14x^50+16x^51+3x^54+3x^56+4x^58+1x^64

The gray image is a linear code over GF(2) with n=86, k=9 and d=37.
This code was found by Heurico 1.16 in 0.031 seconds.