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  0  X  X  0  X  X  6  X  X  6  X  X  X  X  0  6  X  X  3  X  X  3  X
 0  X 2X  0 X+3 2X  6 X+3 2X+6  6 X+6 2X+6  6 X+6 2X  0  X 2X+6  3  3 X+3 2X+3 X+6 2X+3  3  X 2X+3  0 X+3 2X  0 X+3 2X  6 X+6 2X+6  6 X+6 2X+6  6  0 X+3 X+6 2X 2X+6  3  3  X  X 2X+3 2X+3  3  X 2X+3 X+3 2X  X X+3 2X  X X+6 2X+6  X X+6 2X+6  X X+3 X+6 2X 2X+6  X  X  X 2X+3  X  X 2X+3  X  0
 0  0  6  6  3  3  3  6  0  6  0  6  0  6  0  3  3  3  0  6  0  6  3  3  3  6  0  0  3  0  3  6  6  6  0  3  3  6  6  0  6  0  3  3  0  0  6  3  6  0  3  3  0  6  3  0  6  6  6  0  0  3  3  6  6  0  0  3  3  0  3  6  3  0  0  6  6  6  0

generates a code of length 79 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+84x^156+324x^157+144x^159+162x^160+2x^162+6x^165+6x^180

The gray image is a code over GF(3) with n=711, k=6 and d=468.
This code was found by Heurico 1.16 in 0.251 seconds.