The generator matrix

 1  0  0  1  1  1  0  X  1  1  1  1  0  0 X^2  X  1  1  1  1  X  1  0  0 X^2  1  1  1  0  X  0 X^2+X X^2 X^2 X^2+X X^2+X  X X^2+X X^2+X  X X^2+X  X X^2+X  X X^2+X  1  1  1  1  1  1  1  1  1  1  1 X^2 X^2  0  1  1  1 X^2 X^2  0  1  1
 0  1  0  0  1  1  1 X^2 X^2 X^2 X^2+1 X^2+1  1  1  X X^2+X  0  1  0  1  1 X^2+1  1  1  X X^2 X^2 X^2+1  1  0  1 X^2+X X^2+X X^2+X  X X^2  X  0  1  1  1  1  1  1  1  X X^2+X X^2+X+1 X+1 X^2+X+1  X X+1 X^2+X  X X+1 X^2+X X^2 X^2 X^2 X^2+X+1  X X^2+X  0  0 X^2 X+1 X^2+X+1
 0  0  1  1 X^2 X^2+1  1  1  X X+1 X^2+X X^2+X+1  X X^2+X+1  1  1  X X^2+X+1 X+1 X^2+X  1 X^2  X X+1  1  1  0 X^2+1 X^2+1  1  0  1  1  1  1  1  1  1  0  1 X^2 X+1  X X+1 X^2+X  0  1 X^2+X+1 X^2 X^2+1 X+1 X^2+X  X X^2+1 X+1 X^2+X+1  1  1  1  0 X^2 X^2+X  X  X  X  0 X+1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2  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+375x^64+256x^66+188x^68+32x^70+108x^72+32x^74+4x^76+28x^80

The gray image is a linear code over GF(2) with n=268, k=10 and d=128.
This code was found by Heurico 1.11 in 0.172 seconds.