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

generates a code of length 87 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+156x^163+276x^164+126x^165+546x^166+570x^167+186x^168+642x^169+1350x^170+856x^171+1194x^172+2526x^173+2770x^174+2046x^175+2976x^176+930x^177+546x^178+492x^179+106x^180+288x^181+234x^182+68x^183+174x^184+168x^185+30x^186+120x^187+78x^188+18x^189+66x^190+42x^191+4x^192+42x^193+30x^194+6x^195+6x^196+6x^197+6x^199+2x^237

The gray image is a code over GF(3) with n=783, k=9 and d=489.
This code was found by Heurico 1.16 in 3.13 seconds.