The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+318x^161+774x^162+3438x^163+5100x^164+7600x^165+10428x^166+14688x^167+19398x^168+23496x^169+29340x^170+34938x^171+39300x^172+45354x^173+46294x^174+45492x^175+46878x^176+41762x^177+35250x^178+29082x^179+20440x^180+13782x^181+8058x^182+4888x^183+2898x^184+1344x^185+484x^186+312x^187+96x^188+46x^189+54x^190+24x^191+36x^192+24x^193+18x^194+6x^197

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 632 seconds.