The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+159x^36+288x^38+346x^40+300x^42+258x^44+280x^46+185x^48+124x^50+71x^52+32x^54+4x^56

The gray image is a linear code over GF(2) with n=86, k=11 and d=36.
This code was found by Heurico 1.10 in 0.125 seconds.