The generator matrix
1 0 0 1 1 1 0 1 1 1 1 1 0 X 0 1 0 1 1 0 1 1 0 X X X 1 1 0 0 1 1 X 1 0 X 0 1 X 1 X 1 0
0 1 0 1 0 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 X 1 X+1 X+1 1 1 X 1 X X+1 1 1 1 0 1 X+1 0 1 1 0 0 X+1 1 1 0
0 0 1 1 1 0 1 0 1 X+1 X 1 X 1 1 0 1 X+1 X X 0 0 0 1 1 1 X+1 X+1 0 1 X+1 X 0 0 1 X+1 X+1 X 1 X+1 X+1 1 1
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X 0 0 0 0 X X 0 0 0 X X X 0 X 0
0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 0 X 0 X X X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 0 X X X
0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 X X 0 X X X X 0 0 X 0 0 X
0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 X X 0 0 X 0 X X 0 0 X X 0 X 0 0 X 0
0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X 0 X 0 X 0 0 0 0 X X 0 X 0 X X 0 X 0 0 0 X 0 0 X
0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 X 0 X 0 0 0 X X X X 0 0 0 0 X 0 X X X 0 0 0 0 X
generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.
Homogenous weight enumerator: w(x)=1x^0+108x^34+300x^36+484x^38+552x^40+590x^42+671x^44+576x^46+413x^48+240x^50+98x^52+44x^54+10x^56+6x^58+3x^60
The gray image is a linear code over GF(2) with n=86, k=12 and d=34.
This code was found by Heurico 1.16 in 26.2 seconds.