The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+98x^123+298x^126+162x^129+98x^132+64x^135+2x^144+4x^153+2x^168

The gray image is a linear code over GF(3) with n=192, k=6 and d=123.
This code was found by Heurico 1.16 in 0.0452 seconds.