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

generates a code of length 82 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+142x^156+84x^157+216x^158+290x^159+186x^160+864x^161+236x^162+864x^164+3084x^165+30x^166+86x^168+78x^169+102x^171+96x^174+48x^175+38x^177+60x^178+48x^180+6x^183+2x^237

The gray image is a code over GF(3) with n=738, k=8 and d=468.
This code was found by Heurico 1.16 in 0.629 seconds.