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

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+866x^120+1948x^123+2582x^126+3108x^129+3124x^132+2848x^135+2388x^138+1630x^141+902x^144+226x^147+48x^150+12x^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 33.2 seconds.