The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  X  1  X  X  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  X  X  0  X  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  0  X  0  0  X  X  0  X  0  0  0  X  0  X  0  X
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  X  0  0  0  X  X  X  X  X  0  X  0  X
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  X  X  0  X  X  X  0  0  0  X  0  X  X  0  X  0  X  X  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  X  X  X  0  X  0  0  X  0  0  X  X  X  0  0  X  0  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  0  X  X  0  X  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  X  0  0  0  X  0  0  0  0  X  X  0  X  0  0  0  X  X  X  0  0  0  X  X  0  X  0  X  X  0  0  0  X  X  X  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  0  0  X  0  0  0  0  X  X  X  0  X  X  X  0  X  X  0  X  X  X  X
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  0  X  0  0  X  X  0  0  X  0  X  X  0  X  0  X  0  0  X  X  0  0  X  0  X
 0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  0  0  0  0  0  0  0  X  X  0  0  X  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+173x^32+355x^36+64x^38+708x^40+640x^42+1064x^44+320x^46+450x^48+241x^52+76x^56+3x^60+1x^76

The gray image is a linear code over GF(2) with n=86, k=12 and d=32.
This code was found by Heurico 1.16 in 2.76 seconds.