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  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 X+3  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+6 2X+3  0  6  6  0 2X  3 X+6 X+6  X X+6  3  3 X+3 X+6 2X 2X X+3  3  X  3 X+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 2X  3  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 2X+3  0  0 2X+3  X 2X+6 X+3  3 2X  6  3 X+3 X+6  0  6 2X+6 2X X+6 X+3  X  3 2X+3 X+6 2X+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+70x^153+72x^154+108x^155+1728x^156+72x^157+54x^158+54x^159+18x^160+8x^162+2x^234

The gray image is a code over GF(3) with n=702, k=7 and d=459.
This code was found by Heurico 1.16 in 0.209 seconds.