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

generates a code of length 88 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+130x^168+96x^169+180x^170+406x^171+396x^172+348x^173+478x^174+1170x^175+492x^176+726x^177+1110x^178+324x^179+214x^180+60x^181+18x^182+78x^183+48x^184+60x^185+60x^186+12x^187+18x^188+56x^189+12x^190+12x^191+26x^192+6x^193+6x^194+8x^195+6x^196+2x^198+2x^243

The gray image is a code over GF(3) with n=792, k=8 and d=504.
This code was found by Heurico 1.16 in 0.688 seconds.