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

generates a code of length 83 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+336x^159+660x^162+1458x^164+456x^165+2916x^167+210x^168+222x^171+24x^174+84x^177+168x^180+6x^183+18x^186+2x^243

The gray image is a code over GF(3) with n=747, k=8 and d=477.
This code was found by Heurico 1.16 in 33.8 seconds.