The generator matrix

1 0 0 0 0 0 0 1 1 1 X 1 1 1 1 1 1 1 1 1 0 1 X X X 0 1 1 0 X X 0 0 X 1 1 1 1 1 1 X X 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 1 1 1 1 1 1 1 1 1 1 1 X X+1 X+1 X X+1 X 1 0
0 0 1 0 0 0 0 0 0 0 0 0 0 X X 1 X+1 1 X+1 1 1 1 1 X X X+1 1 X+1 X 1 0 X+1 1 0 X 0 1 X+1 X X 1 0 0
0 0 0 1 0 0 0 0 0 X X 1 1 1 X+1 X+1 X+1 X 1 X 1 0 0 1 X 1 0 X+1 X+1 1 0 0 X 1 0 1 1 X+1 X+1 0 X 1 0
0 0 0 0 1 0 0 1 X 1 1 0 X+1 0 1 X X+1 X X X+1 0 1 1 1 X 1 X X+1 X X X+1 0 X+1 X+1 X X 1 X 0 X 1 X 0
0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 0 1 1 X+1 X X 1 0 X 1 X X+1 0 X X X+1 X X X+1 1 1 0 X+1 0 X+1 X+1 0 1 0
0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X X+1 0 0 X 1 X X X+1 X 1 1 X+1 X+1 X X X 0 1 0 X 1 0 0 X+1 X 0 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+146x^32+124x^33+342x^34+380x^35+545x^36+638x^37+793x^38+940x^39+1041x^40+1284x^41+1225x^42+1432x^43+1199x^44+1276x^45+1067x^46+1050x^47+860x^48+600x^49+545x^50+330x^51+266x^52+110x^53+109x^54+26x^55+36x^56+12x^58+2x^59+2x^60+2x^62+1x^70

The gray image is a linear code over GF(2) with n=86, k=14 and d=32.
This code was found by Heurico 1.10 in 6.5 seconds.