The generator matrix

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

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+262x^34+656x^36+894x^38+1016x^40+1224x^42+1303x^44+1104x^46+873x^48+562x^50+240x^52+50x^54+6x^56+1x^76

The gray image is a linear code over GF(2) with n=86, k=13 and d=34.
This code was found by Heurico 1.16 in 5.66 seconds.