The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  1  X  0  X  1  1  X  0  X  X  1  X  X  1  X  1  1  1  1  1  1  1  X  1  0  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  X  1  1  1  1  1  1  1  X  1  1  0  1 X+1  X  1  0  1  X X+1  1  1  1 X+1  X  1  X  0  1
 0  0  1  0  0  0  0  0  0  0  1  1  1 X+1  1 X+1  X  1  1  1 X+1  X X+1  X  0  1 X+1  0  1 X+1  X  X  X X+1 X+1  1  X  1  X  0  X  X  X
 0  0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1  X  0  X X+1  1  0  X  0 X+1  0  X X+1  X  1  1  0  1 X+1  1  1  X  1 X+1 X+1  1 X+1  1 X+1
 0  0  0  0  1  0  1  1  0 X+1  X  0  X X+1  1 X+1  X  X  0  1  X  0 X+1 X+1  X X+1  1 X+1  0  0 X+1  0  0 X+1  X  X  X  X  1  0  0  0  0
 0  0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X  1 X+1  0  X  1  0  X  1 X+1  1  0  0  1  0  1  X X+1  0 X+1 X+1  0  1  0  X X+1 X+1 X+1  X
 0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  X  X  X  0  0  0  X  0  0  X  0  X  X  X  0  X  0  X  0  0  0  0  0  X
 0  0  0  0  0  0  0  X  0  X  0  X  X  0  0  0  0  X  0  X  X  0  X  0  0  X  X  0  0  X  X  0  X  0  X  0  X  0  0  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+94x^32+138x^33+263x^34+420x^35+512x^36+666x^37+796x^38+984x^39+1099x^40+1188x^41+1311x^42+1348x^43+1329x^44+1308x^45+1124x^46+968x^47+819x^48+650x^49+521x^50+340x^51+222x^52+138x^53+80x^54+32x^55+18x^56+8x^57+1x^58+4x^59+1x^60+1x^72

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 38 seconds.