The generator matrix

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

generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+156x^122+96x^123+180x^125+78x^126+72x^128+42x^129+36x^131+6x^132+24x^134+2x^135+12x^138+6x^140+6x^141+12x^143

The gray image is a linear code over GF(3) with n=189, k=6 and d=122.
This code was found by Heurico 1.13 in 0.0383 seconds.