The generator matrix

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

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+208x^32+96x^34+600x^36+604x^38+1289x^40+1168x^42+1647x^44+872x^46+999x^48+304x^50+300x^52+28x^54+63x^56+12x^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 10.3 seconds.