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

generates a code of length 82 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+144x^163+54x^164+12x^168+8x^171+18x^172+6x^174

The gray image is a code over GF(3) with n=738, k=5 and d=489.
This code was found by Heurico 1.16 in 0.214 seconds.