The generator matrix

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

generates a code of length 32 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+14x^63+216x^64+6x^66+2x^69+4x^78

The gray image is a code over GF(3) with n=288, k=5 and d=189.
This code was found by Heurico 1.16 in 0.0063 seconds.