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

generates a code of length 84 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+336x^161+114x^162+846x^164+342x^165+972x^167+216x^168+2916x^169+324x^170+18x^171+144x^173+36x^174+126x^179+144x^182+24x^188+2x^243

The gray image is a code over GF(3) with n=756, k=8 and d=483.
This code was found by Heurico 1.16 in 0.696 seconds.