The generator matrix

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

generates a code of length 87 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+462x^167+546x^168+1620x^169+2172x^170+1866x^171+1896x^172+1812x^173+1140x^174+1314x^175+1386x^176+1100x^177+990x^178+1230x^179+422x^180+552x^181+420x^182+346x^183+252x^184+132x^185+2x^186+18x^187+2x^192+2x^195

The gray image is a code over GF(3) with n=783, k=9 and d=501.
This code was found by Heurico 1.16 in 1.05 seconds.