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

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+294x^155+256x^156+180x^157+450x^158+606x^159+594x^160+438x^161+978x^162+864x^163+378x^164+678x^165+306x^166+144x^167+72x^168+84x^170+42x^171+78x^173+18x^174+42x^176+6x^177+18x^179+12x^180+6x^182+2x^183+12x^185+2x^216

The gray image is a code over GF(3) with n=729, k=8 and d=465.
This code was found by Heurico 1.16 in 39.9 seconds.