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

generates a code of length 84 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+8x^165+156x^167+510x^168+32x^171+16x^174+6x^194

The gray image is a code over GF(3) with n=756, k=6 and d=495.
This code was found by Heurico 1.16 in 0.843 seconds.