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

generates a code of length 74 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+16x^144+36x^145+138x^146+144x^147+1560x^148+156x^149+64x^150+12x^151+30x^152+16x^153+12x^154+2x^222

The gray image is a code over GF(3) with n=666, k=7 and d=432.
This code was found by Heurico 1.16 in 0.174 seconds.