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  0  X  X  6  1  1  1  1  1  1
 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 X+3 2X+3  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 X+3 2X  0 X+6 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 2X  X X+6 2X+6  X  0  0  6  6  0  6
 0  0  6  6  3  3  3  6  0  6  0  6  0  6  0  3  3  3  0  0  6  6  3  3  3  6  0  0  3  0  3  6  6  6  0  3  3  6  6  0  0  3  6  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  3  0  6  0  6  3  6  3  3

generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+138x^153+504x^156+18x^159+62x^162+6x^180

The gray image is a code over GF(3) with n=702, k=6 and d=459.
This code was found by Heurico 1.16 in 0.239 seconds.