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  1  1  1  1  1  X  X  X  0  1  1  1  X  X
 0  X 2X  0 X+6 2X  3 X+6 2X+3  3 X+3 2X+3  3 X+3 2X  0  X 2X+3  6  6 X+6 X+3 2X+6 2X+6  6  X 2X+6  0 X+6 2X  0 X+6 2X  3 X+3 2X+3  3 X+3 2X+3  3  0 X+6 X+3 2X 2X+3  6  6  X  X 2X+6 2X+6  6  X 2X+6 X+6 2X X+6  X  0  0  3 X+3  3
 0  0  3  3  6  6  6  3  0  3  0  3  0  3  0  6  6  6  0  3  0  6  3  6  6  3  0  0  6  0  6  3  3  3  0  6  6  3  3  0  3  0  6  6  0  0  3  6  3  0  6  6  0  3  6  0  3  0  0  3  6  3  0

generates a code of length 63 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+68x^123+180x^124+108x^126+288x^127+48x^129+18x^130+16x^132+2x^171

The gray image is a code over GF(3) with n=567, k=6 and d=369.
This code was found by Heurico 1.16 in 0.106 seconds.