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

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+18x^144+48x^145+144x^146+32x^147+1692x^148+144x^149+16x^150+36x^151+36x^152+8x^153+6x^154+4x^156+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 0.226 seconds.