The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+68x^37+97x^38+88x^39+112x^40+94x^41+98x^42+74x^43+46x^44+42x^45+48x^46+70x^47+43x^48+34x^49+38x^50+22x^51+18x^52+18x^53+7x^54+2x^55+4x^56

The gray image is a linear code over GF(2) with n=86, k=10 and d=37.
This code was found by an older version of Heurico in 0 seconds.