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

generates a code of length 80 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+546x^150+36x^152+1170x^153+162x^154+180x^155+1806x^156+810x^157+864x^158+3504x^159+2268x^160+1476x^161+3386x^162+1134x^163+360x^164+726x^165+498x^168+368x^171+234x^174+114x^177+32x^180+6x^183+2x^216

The gray image is a code over GF(3) with n=720, k=9 and d=450.
This code was found by Heurico 1.16 in 7.3 seconds.