The generator matrix

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

generates a code of length 67 over Z3[X]/(X^3) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+256x^126+270x^127+810x^128+1134x^129+864x^130+2268x^131+1896x^132+1188x^133+2610x^134+1454x^135+1296x^136+2268x^137+1266x^138+702x^139+756x^140+360x^141+54x^142+36x^143+80x^144+48x^147+30x^150+34x^153+2x^162

The gray image is a linear code over GF(3) with n=603, k=9 and d=378.
This code was found by Heurico 1.16 in 1.25 seconds.