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

generates a code of length 80 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+448x^153+36x^155+772x^156+648x^158+1120x^159+486x^160+1188x^161+1222x^162+72x^164+212x^165+146x^168+112x^171+60x^174+30x^177+6x^180+2x^225

The gray image is a code over GF(3) with n=720, k=8 and d=459.
This code was found by Heurico 1.16 in 0.864 seconds.