The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  X  1  1  X  X  1  1  0  0  1  1  1  1  1  0  1  0  0  1  0  0  1  X  0  1  1  1  1  0  1
 0  1  0  1  0  1  1  0  0  1 X+1  1  X  1  0  1  1  1  X  X  0  1 X+1  0  1  X  X  X  1  1  X  1  0  1  1  1  1  X  0  0  X  1  0
 0  0  1  1  1  0  1  0  1  1  0  X  1  1  X  1  1  1  1 X+1  1  0  0  0 X+1  0  1  1  X  X  1  0  1 X+1  X  1  0  0  1  1  1  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  X  X  X  X  0  0  X  0  X  X  0  X  0
 0  0  0  0  X  0  0  0  0  0  X  X  X  0  0  X  0  0  0  X  X  X  0  X  X  0  0  0  X  X  X  0  X  X  X  X  X  0  X  0  0  0  X
 0  0  0  0  0  X  0  0  0  0  X  0  0  X  X  X  0  X  0  X  X  0  X  X  X  X  X  X  0  X  0  0  0  0  0  0  0  X  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  0  0  X  X  X  0  X  0  0  X  X  X  X  0  0  0  X  0  X  X  0  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  X  X  0  0  0  X  X  X  0  X  0  X  X  0  X
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  X  X  X  0  0  X  X  0  0  0  X  X  X  X  X  0  0  X  0  0  X  0  X  0  0  X
 0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  X  0  0  0  0  X  0  X  X  X  X  X  0  0  X  0  X  X  0  X  X  X  0  0  0  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+59x^32+54x^33+150x^34+164x^35+304x^36+308x^37+380x^38+490x^39+515x^40+628x^41+618x^42+736x^43+645x^44+720x^45+581x^46+508x^47+398x^48+294x^49+239x^50+140x^51+106x^52+44x^53+62x^54+10x^55+19x^56+16x^58+1x^60+1x^62+1x^66

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 5.4 seconds.