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

generates a code of length 88 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+76x^165+264x^166+228x^167+348x^168+540x^169+378x^170+840x^171+1434x^172+510x^173+1580x^174+2436x^175+2316x^176+2404x^177+3090x^178+576x^179+864x^180+444x^181+60x^182+120x^183+198x^184+120x^185+102x^186+162x^187+108x^188+132x^189+120x^190+24x^191+72x^192+36x^193+36x^194+6x^195+6x^196+18x^197+8x^198+18x^199+6x^201+2x^240

The gray image is a code over GF(3) with n=792, k=9 and d=495.
This code was found by Heurico 1.16 in 3.13 seconds.