The generator matrix

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

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+82x^120+138x^123+236x^126+396x^129+548x^132+464x^135+168x^138+30x^141+42x^144+18x^147+18x^150+14x^153+16x^156+4x^159+6x^162+4x^165+2x^180

The gray image is a linear code over GF(3) with n=198, k=7 and d=120.
This code was found by Heurico 1.16 in 0.212 seconds.