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

generates a code of length 83 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+618x^156+18x^158+1098x^159+162x^160+90x^161+1718x^162+1404x^163+918x^164+2790x^165+2592x^166+1710x^167+2622x^168+1620x^169+180x^170+816x^171+54x^172+504x^174+384x^177+236x^180+84x^183+54x^186+8x^189+2x^225

The gray image is a code over GF(3) with n=747, k=9 and d=468.
This code was found by Heurico 1.16 in 52.7 seconds.