The generator matrix

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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+814x^120+1944x^123+2626x^126+3226x^129+3014x^132+2936x^135+2380x^138+1502x^141+882x^144+276x^147+74x^150+8x^153

The gray image is a linear code over GF(3) with n=198, k=9 and d=120.
This code was found by Heurico 1.16 in 72.2 seconds.