The generator matrix

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

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+68x^37+128x^38+92x^39+54x^40+88x^41+114x^42+76x^43+48x^44+42x^45+72x^46+56x^47+17x^48+54x^49+60x^50+28x^51+8x^52+2x^53+8x^54+4x^55+2x^57+2x^58

The gray image is a linear code over GF(2) with n=86, k=10 and d=37.
This code was found by Heurico 1.16 in 0.254 seconds.