The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  X  1  1  X  0  X  0  X  X  X  0  0  X  1  1  1  1  0  0  1  1
 0  1  1  0  1  1  0 X+1  1 X+1  0  1  0 X+1  1  0 X+1  1  X X+1  1  X  1  0  X  1  1  1  1  1  1  X  1  1  1  X  X  0  0  1  1  1  0
 0  0  X  0  0  0  0  0  X  X  0  X  X  X  0  X  X  0  X  0  X  0  0  0  X  X  X  X  0  0  0  0  X  0  X  X  0  X  0  X  0  0  0
 0  0  0  X  0  0  X  0  X  X  X  0  X  X  0  0  0  X  0  X  0  0  X  0  X  0  X  X  X  X  0  0  X  X  0  0  0  X  0  0  0  X  0
 0  0  0  0  X  0  X  X  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  0  0  X  0  0  X  X  0  X  X  0  0  X  0  0  X  0  X  X  0
 0  0  0  0  0  X  0  X  X  0  X  X  0  X  0  X  0  X  0  X  0  X  X  X  0  0  0  X  0  X  X  0  0  0  X  0  0  X  X  0  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+15x^38+26x^39+34x^40+30x^41+22x^42+28x^43+15x^44+20x^45+21x^46+10x^47+12x^48+14x^49+1x^50+4x^54+1x^56+1x^58+1x^68

The gray image is a linear code over GF(2) with n=86, k=8 and d=38.
This code was found by Heurico 1.16 in 0.016 seconds.