The generator matrix

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

generates a code of length 67 over Z3[X]/(X^3) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+204x^128+374x^129+792x^130+468x^131+622x^132+612x^133+642x^134+690x^135+486x^136+408x^137+372x^138+504x^139+210x^140+114x^141+36x^142+6x^143+8x^147+6x^149+2x^153+2x^156+2x^177

The gray image is a linear code over GF(3) with n=603, k=8 and d=384.
This code was found by Heurico 1.16 in 0.811 seconds.