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

generates a code of length 89 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+576x^168+18x^170+1238x^171+144x^172+252x^173+1728x^174+756x^175+1296x^176+2832x^177+2430x^178+2412x^179+2454x^180+1044x^181+396x^182+804x^183+450x^186+378x^189+258x^192+138x^195+58x^198+18x^201+2x^243

The gray image is a code over GF(3) with n=801, k=9 and d=504.
This code was found by Heurico 1.16 in 30.7 seconds.