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

generates a code of length 63 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+60x^121+36x^123+204x^124+1644x^126+108x^127+66x^130+18x^132+48x^133+2x^189

The gray image is a code over GF(3) with n=567, k=7 and d=363.
This code was found by Heurico 1.16 in 0.132 seconds.