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

generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+12x^150+60x^151+72x^152+146x^153+1674x^154+72x^155+72x^156+36x^157+18x^158+10x^159+12x^160+2x^231

The gray image is a code over GF(3) with n=693, k=7 and d=450.
This code was found by Heurico 1.16 in 0.199 seconds.