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

generates a code of length 73 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+558x^144+972x^146+504x^147+144x^150+6x^153+2x^216

The gray image is a code over GF(3) with n=657, k=7 and d=432.
This code was found by Heurico 1.16 in 5.89 seconds.