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  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  0  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  3  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  3  3  0  6  3  3  3  0  3  3  6  0  0  6  3  6  0  6  3  6  0  6  6  6  0  0  0  3  3  0  3  3  6  0  0  3  3  6  6  6  0
 0  0  3  0  6  3  6  3  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  3  6  3  3  6  0  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  3  6  3  3  0  3  0  6  3  3  0  3  0  6  0  6  6  6  6  0  3  6  0  3  6  0  0  3  6  3  3  6  0  6  0  3  3  0  0  0  3  6
 0  0  0  3  6  6  0  6  6  6  3  0  6  0  6  3  3  0  3  3  3  6  3  0  3  6  0  0  3  6  6  6  3  3  3  6  6  0  0  0  3  3  6  6  3  0  0  0  6  3  0  6  0  3  3  6  6  6  3  3  0  0  0  0  3  3  6  6  6  0  3  6  0  3  6  0  3  6  3  0  0  3  6  6  6  3  3  3  6  6  0  0  0  0  6  0  3

generates a code of length 97 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+22x^192+156x^193+486x^194+30x^195+8x^198+14x^201+4x^204+2x^213+6x^220

The gray image is a code over GF(3) with n=873, k=6 and d=576.
This code was found by Heurico 1.16 in 0.419 seconds.