The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+342x^159+54x^160+108x^161+1334x^162+108x^163+54x^164+18x^165+162x^168+6x^189

The gray image is a code over GF(3) with n=729, k=7 and d=477.
This code was found by Heurico 1.16 in 0.223 seconds.