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

generates a code of length 84 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+54x^169+20x^171+2x^174+2x^177+2x^180

The gray image is a code over GF(3) with n=756, k=4 and d=507.
This code was found by Heurico 1.16 in 0.235 seconds.