The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+232x^120+498x^123+410x^126+368x^129+272x^132+222x^135+112x^138+50x^141+4x^144+2x^147+8x^150+2x^153+4x^156+2x^165

The gray image is a linear code over GF(3) with n=192, k=7 and d=120.
This code was found by Heurico 1.16 in 0.199 seconds.