The generator matrix

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

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+78x^64+84x^65+114x^66+64x^67+47x^68+50x^69+16x^70+16x^71+12x^72+6x^73+4x^74+4x^75+10x^76+1x^78+4x^80+1x^82

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 0.0959 seconds.