The generator matrix

 1  0  0  1  1  1  X  1  1  1  0  1  0  X  1  1  1  1  X  X  1  X  1  0  1  1  X  X  0  1  1  0  0  0  X  1  1  1  1  0  1  1  1
 0  1  0  0  1 X+1  1  0  X  1  1 X+1  1  X X+1  1  X  0  1  1  X  1  1  X  0  0  1  1  1  X  0  1  X  1  1 X+1  1  0 X+1  X X+1  0  0
 0  0  1  1  1  0  1  X  1 X+1 X+1  X  0  1 X+1 X+1  1  X  1  X  X X+1  X  1  1 X+1 X+1  X  X  1 X+1  0  1  X  X X+1  X  1  X  X  X  0  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  0  X  X  0  X  X  0  X  X  X  X  X  X  0  0  0  0  X  0  X  X  0  0  0
 0  0  0  0  X  X  0  X  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  0  X  X  0  X  0  X  0  X  X  X  0  0  X  0  X  X  0  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+26x^38+20x^39+17x^40+48x^41+27x^42+30x^43+19x^44+10x^45+15x^46+4x^47+4x^48+4x^49+9x^50+6x^51+5x^52+2x^53+3x^54+4x^55+2x^56

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.