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

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+186x^163+306x^164+26x^165+522x^166+576x^167+252x^168+390x^169+900x^170+1128x^171+1914x^172+2346x^173+2136x^174+3264x^175+2232x^176+1468x^177+306x^178+300x^179+54x^180+264x^181+264x^182+16x^183+216x^184+186x^185+8x^186+90x^187+90x^188+10x^189+102x^190+54x^191+30x^193+30x^194+6x^196+6x^197+2x^198+2x^243

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 3.15 seconds.