The generator matrix

 1  0  1  1  1  1  1 X+3  1  1 2X  1  1  1  0  1 X+3  1  1 2X  1  1  1  1  1  0  1  1  1  1  1  1 2X  1  1  1 X+3  1  1  1 2X  1  1  1 X+6  1  1  0  1  6 X+3 X+6  1  6  1  1  1  1  1  6 X+6  1  1  1 2X+6  1  1  1 X+6  1  6  1  1 2X+3  1  1  1  1 2X+6  6  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X+8 2X  1  4 2X+4  8  1  4  1 X+2  0  1 X+3 2X+8 2X X+1  0  1 X+3  8 X+2  4 2X+8 2X  1 X+1  0 2X+4  1  8 2X  4  1 X+1  5 X+2  1 X+3 X+5  1 2X+6  1  1  1 X+5  1 2X+8  6 X+6 2X+5  0  1  1 X+3  3 2X+3  1  5  2 2X+5  1  7  1 2X+8 2X+4  1 2X+5  8 2X+7  8  1  X  6
 0  0  3  0  0  0  3  3  6  6  3  3  6  6  6  0  6  3  3  0  0  0  0  6  3  3  6  3  0  0  3  3  6  0  3  0  3  0  3  3  0  3  0  6  0  6  6  3  6  0  3  6  6  6  0  6  6  6  6  6  3  0  0  0  6  3  0  6  6  6  0  3  3  3  0  3  0  6  6  0  0
 0  0  0  6  0  6  3  6  6  3  0  6  3  6  0  0  3  3  3  6  6  6  3  6  3  3  0  0  0  3  0  0  0  3  6  0  6  3  6  6  6  0  3  0  0  3  0  0  3  0  3  6  3  3  3  0  0  6  0  3  3  6  3  0  6  6  6  6  0  3  6  3  0  3  0  3  0  0  3  6  6
 0  0  0  0  3  3  6  0  6  3  3  6  6  3  6  6  0  0  6  6  3  6  0  6  0  3  3  3  0  0  6  0  0  3  0  3  6  6  6  3  0  3  0  0  6  6  3  6  0  3  0  0  6  6  3  0  6  3  3  3  6  6  3  0  6  0  3  0  0  3  3  0  6  3  6  6  0  6  0  6  0

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+386x^153+18x^154+540x^155+1520x^156+144x^157+1440x^158+2046x^159+432x^160+1800x^161+2910x^162+576x^163+2268x^164+2550x^165+288x^166+1044x^167+1122x^168+198x^170+250x^171+66x^174+54x^177+20x^180+4x^183+2x^189+2x^198+2x^207

The gray image is a code over GF(3) with n=729, k=9 and d=459.
This code was found by Heurico 1.16 in 1.65 seconds.