The generator matrix

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

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+840x^128+1250x^129+1680x^130+2190x^131+2156x^132+1704x^133+1548x^134+1760x^135+1248x^136+1446x^137+1088x^138+792x^139+894x^140+592x^141+246x^142+204x^143+28x^144+6x^146+2x^147+6x^150+2x^153

The gray image is a linear code over GF(3) with n=603, k=9 and d=384.
This code was found by Heurico 1.16 in 0.908 seconds.