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.