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

generates a code of length 83 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+148x^165+54x^167+6x^168+8x^171+26x^174

The gray image is a code over GF(3) with n=747, k=5 and d=495.
This code was found by Heurico 1.16 in 0.226 seconds.