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

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+348x^152+278x^153+18x^154+738x^155+616x^156+90x^157+1110x^158+1206x^159+1890x^160+1950x^161+2418x^162+3654x^163+1914x^164+1500x^165+180x^166+462x^167+192x^168+312x^170+146x^171+186x^173+96x^174+138x^176+78x^177+90x^179+8x^180+24x^182+20x^183+18x^185+2x^225

The gray image is a code over GF(3) with n=729, k=9 and d=456.
This code was found by Heurico 1.16 in 12.8 seconds.