The generator matrix

 1  0  0  0  1  1  1  1  1  6 X+6  1  1  1  1  1  1  1  1  X X+3  1  1  1 X+6 2X+3  3  1  1  1 2X+6  3  1  1  1 X+3  1  1  1  6  1  0  1  X  1 X+3 2X+6  1  1  1  1  1  1 X+6  6 X+3  1  1  1 X+3  1  1 X+3  1  6  1  1  X  6  1  1  0  1  1  1  1  X  1  1  0  1  1  1 X+3 2X+6  1  1
 0  1  0  0  6  3  6  X X+3 2X 2X+6 2X+3  8 X+1  5 X+4 2X+2 2X+8 X+8  1  1  1 X+4 X+2  1  1  1 2X+7 2X+2  4  1  1  7 X+4 X+5  1 2X+2  7  7  1 2X+3  1 2X+3  0 2X+1  X  6 X+3  X  4  7  8 2X+5  1 X+3  1 2X X+1 2X  1  6  7  6  5  1  1 X+8  1  1 2X+6 2X  1  8  0 X+2  0  1 X+2 2X+1  1 2X+3 2X+7 2X+4  1  1  6  3
 0  0  1  0 2X+7 X+6 X+7 X+8  6  1  1  4  3 X+2 2X+8  1 2X+7  0 X+4 X+3 X+1  2 2X+2 2X+5  X X+5  2 X+6 X+1 X+6  5 X+4  4 X+3  5  4  3 2X+2 2X+7 2X+7 X+2  7 2X+2  1 2X+2  1  1  4  5 2X+4 X+7 X+4 X+6 2X+8 2X+3  7  6  6 2X+8 X+6  X 2X+3 2X+6  1 2X+2  0  6 2X+3 X+6 X+1 X+8 X+8 2X+7 2X+1 X+8  5  7 X+3 2X+8 X+2 2X+7 X+3  0 X+2 X+8 X+8  3
 0  0  0  1 2X+5 X+5 X+6 X+1  7 2X+7 2X+5  1 X+4  X  8 2X X+8 2X+6 2X X+7  5 2X+8  7 X+1 X+5 2X+8 X+7  2  4  3  6 2X+1  5 X+4  3 2X+6  5 2X+8 2X+4  1  2 X+2 X+3  4 2X+7 2X+8 X+7 X+8  5 X+6 X+8  6 X+8  7  1 X+6 2X+2  2  3 2X+1 2X+3  3  1  4 2X+8  1 X+4 2X+8 2X 2X+6 2X+7 2X+7 2X+4  7  2 X+4  1  3  1 2X+3 X+7 X+7 2X+3  7  3  0  0

generates a code of length 87 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+354x^161+690x^162+3540x^163+4896x^164+7652x^165+11652x^166+14058x^167+18772x^168+26310x^169+25728x^170+34604x^171+40650x^172+40362x^173+49502x^174+50136x^175+42336x^176+42790x^177+39240x^178+26172x^179+19426x^180+14724x^181+8094x^182+4550x^183+2832x^184+1152x^185+514x^186+330x^187+84x^188+60x^189+72x^190+36x^191+36x^192+48x^193+18x^194+6x^195+6x^197+2x^198+6x^202

The gray image is a code over GF(3) with n=783, k=12 and d=483.
This code was found by Heurico 1.16 in 713 seconds.