The generator matrix

1 0 0 0 0 1 1 1 1 0 0 X 1 1 X X 1 1 X 0 0 1 1 0 1 1 X 0 1 X X 1 1 1 X X X X 0 1 0 0 1
0 1 0 0 0 0 0 0 X X 0 X 1 X+1 1 1 1 X+1 0 1 1 1 X+1 1 X 1 1 0 X 1 1 X X+1 0 X 1 1 1 1 0 1 0 0
0 0 1 0 0 0 1 X 1 1 1 1 X+1 X 1 X+1 0 X+1 0 0 1 X+1 0 X X+1 X+1 1 1 1 X+1 X 0 X 1 0 X+1 1 1 X+1 X X 1 0
0 0 0 1 0 1 X 0 1 X 1 1 X+1 X+1 X+1 0 X X+1 1 X+1 1 0 X 0 0 X X 1 1 X X+1 X X+1 X 1 1 1 X X+1 0 1 X+1 0
0 0 0 0 1 X 0 1 1 X+1 1 0 X X+1 X+1 1 X+1 1 X+1 X 0 X+1 0 X+1 1 0 X X+1 X+1 X 0 X X X X 0 1 0 1 X 1 X+1 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+45x^36+44x^37+65x^38+112x^39+80x^40+116x^41+86x^42+54x^43+72x^44+50x^45+56x^46+54x^47+35x^48+34x^49+42x^50+34x^51+19x^52+10x^53+7x^54+2x^55+4x^56+2x^57

The gray image is a linear code over GF(2) with n=86, k=10 and d=36.
This code was found by Heurico 1.10 in 0.031 seconds.