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

generates a code of length 87 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 167.

Homogenous weight enumerator: w(x)=1x^0+348x^167+224x^168+108x^169+672x^170+306x^171+324x^172+1260x^173+704x^174+324x^175+1170x^176+332x^177+216x^178+162x^179+46x^180+96x^182+38x^183+66x^185+20x^186+66x^188+14x^189+48x^191+14x^192+2x^234

The gray image is a code over GF(3) with n=783, k=8 and d=501.
This code was found by Heurico 1.16 in 95.4 seconds.