The generator matrix

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

generates a code of length 66 over Z3[X]/(X^3) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+684x^125+954x^126+432x^127+1578x^128+2026x^129+1098x^130+1974x^131+2654x^132+1080x^133+2118x^134+2016x^135+756x^136+1074x^137+698x^138+36x^139+228x^140+94x^141+48x^143+42x^144+48x^146+10x^147+12x^149+6x^150+12x^152+2x^153+2x^156

The gray image is a linear code over GF(3) with n=594, k=9 and d=375.
This code was found by Heurico 1.16 in 65.2 seconds.