The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+41x^36+46x^37+82x^38+100x^39+86x^40+82x^41+70x^42+88x^43+64x^44+86x^45+66x^46+40x^47+35x^48+38x^49+22x^50+24x^51+23x^52+4x^53+12x^54+4x^55+6x^56+4x^58

The gray image is a linear code over GF(2) with n=86, k=10 and d=36.
This code was found by Heurico 1.16 in 0.0943 seconds.