The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  0  X  1  0  X  1  0  X  1  1  X  1  1  1  1  1  1  0  0  1  1  X  1  1  1  1  0  1  1  X  X  X
 0  1  0  0  0  0  0  0  0  1  1  1  0  X  1  X  0  1  1 X+1  X  1  1  1  0 X+1  1  0  1  1  X X+1  X  X  X  X X+1  1  X  1  1  0  0
 0  0  1  0  0  0  1  1  1  1  X  1  1  0  X  1  1  X  0  1  0 X+1 X+1  0  1  X  X  0 X+1 X+1 X+1  0  X  1 X+1  X X+1  X  0  X X+1  0  X
 0  0  0  1  0  1  1  0  1  0 X+1 X+1  X  0 X+1  1 X+1  X  1  0 X+1  0  1  X  0  1 X+1  1  X  1  X X+1  1  0  0  0 X+1  1  0  0 X+1  1  X
 0  0  0  0  1  1  0  1  1  X  0  X X+1  1 X+1  0  1  1  X X+1  0  X  0 X+1  X  1 X+1 X+1  0  1  1  1  1  0  1  X  1  1 X+1  0  1 X+1  0
 0  0  0  0  0  X  0  0  0  X  0  X  X  X  X  X  X  0  X  X  X  0  0  X  X  X  0  X  X  X  0  0  0  X  X  0  X  X  X  0  0  X  X
 0  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  0  X  X  X  0  X  0  X
 0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  0  X  X  0  X  X  0  X  0  0  0  X  0  0  X  0  0  0  X  0  X  X  0  X  0  0  0  X
 0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  X  X  0  X  X  0  X  0  X  0  0  X  X  X  0  X  0  X  X  0  0  0  X  X  X  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+180x^32+536x^34+1057x^36+1576x^38+2244x^40+2424x^42+2768x^44+2316x^46+1684x^48+948x^50+442x^52+124x^54+64x^56+12x^58+4x^60+3x^64+1x^68

The gray image is a linear code over GF(2) with n=86, k=14 and d=32.
This code was found by Heurico 1.16 in 37.5 seconds.