The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+46x^32+60x^33+134x^34+214x^35+280x^36+400x^37+431x^38+460x^39+518x^40+566x^41+629x^42+680x^43+640x^44+580x^45+550x^46+516x^47+431x^48+364x^49+256x^50+162x^51+118x^52+76x^53+43x^54+16x^55+12x^56+2x^57+5x^58+1x^60+1x^76

The gray image is a linear code over GF(2) with n=86, k=13 and d=32.
This code was found by Heurico 1.16 in 5.21 seconds.