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

generates a code of length 80 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+16x^159+210x^160+8x^162+6x^178+2x^186

The gray image is a code over GF(3) with n=720, k=5 and d=477.
This code was found by Heurico 1.16 in 0.194 seconds.