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

generates a code of length 97 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 193.

Homogenous weight enumerator: w(x)=1x^0+54x^193+144x^194+24x^196+12x^199+2x^204+4x^210+2x^222

The gray image is a code over GF(3) with n=873, k=5 and d=579.
This code was found by Heurico 1.16 in 0.411 seconds.