The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  X  0  0 X^2+X X^2+X  0  0  X X^2+X  0  0 X^2+X  X  0  0  X  X  0 X^2+X  0 X^2+X  0  X  0 X^2+X X^2 X^2  X X^2 X^2+X X^2 X^2  X X^2+X  X X^2+X X^2  X X^2+X X^2 X^2 X^2 X^2+X  X X^2 X^2  X X^2+X  X X^2+X  0 X^2 X^2  0 X^2+X X^2 X^2  X X^2 X^2+X X^2  X  0  0
 0  0  X  X  0 X^2+X X^2+X  0  0 X^2+X  X  0  0  X X^2+X  0 X^2 X^2+X X^2+X X^2 X^2  X  X X^2 X^2 X^2+X X^2+X X^2 X^2  X X^2 X^2+X  X  0  X  X  0  X  0 X^2 X^2 X^2+X X^2+X  0  X X^2+X X^2 X^2  X X^2+X X^2 X^2+X X^2 X^2 X^2+X X^2  X  X  0 X^2+X  0  0  X  X  X  0  0
 0  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0  0
 0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0

generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+35x^64+160x^66+128x^67+151x^68+32x^70+4x^72+1x^132

The gray image is a linear code over GF(2) with n=268, k=9 and d=128.
This code was found by Heurico 1.16 in 24.6 seconds.