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

generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+90x^121+142x^123+186x^124+24x^126+96x^127+36x^130+72x^132+66x^133+12x^136+2x^150+2x^162

The gray image is a linear code over GF(3) with n=189, k=6 and d=121.
This code was found by Heurico 1.16 in 0.0356 seconds.