The generator matrix

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

generates a code of length 67 over Z3[X]/(X^3) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+472x^129+618x^130+528x^131+1134x^132+714x^133+360x^134+544x^135+528x^136+318x^137+638x^138+384x^139+72x^140+186x^141+18x^142+12x^143+6x^144+6x^145+6x^147+6x^149+2x^153+6x^156+2x^162

The gray image is a linear code over GF(3) with n=603, k=8 and d=387.
This code was found by Heurico 1.16 in 0.24 seconds.