The generator matrix

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

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+95x^32+130x^33+285x^34+416x^35+526x^36+662x^37+765x^38+950x^39+1127x^40+1226x^41+1258x^42+1344x^43+1303x^44+1350x^45+1187x^46+976x^47+781x^48+668x^49+528x^50+296x^51+231x^52+116x^53+68x^54+50x^55+32x^56+8x^57+4x^58+1x^74

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 39.9 seconds.