The generator matrix

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

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+56x^37+117x^38+120x^39+69x^40+58x^41+130x^42+78x^43+22x^44+82x^45+80x^46+30x^47+25x^48+46x^49+38x^50+26x^51+10x^52+14x^53+19x^54+2x^55+1x^56

The gray image is a linear code over GF(2) with n=86, k=10 and d=37.
This code was found by Heurico 1.16 in 2.46 seconds.