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

generates a code of length 83 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+26x^162+642x^166+54x^168+6x^193

The gray image is a code over GF(3) with n=747, k=6 and d=486.
This code was found by Heurico 1.16 in 0.231 seconds.