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

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+162x^141+1914x^144+54x^147+54x^150+2x^216

The gray image is a code over GF(3) with n=648, k=7 and d=423.
This code was found by Heurico 1.16 in 0.159 seconds.