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.