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

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+268x^168+108x^169+126x^170+238x^171+270x^172+396x^173+664x^174+648x^175+810x^176+1100x^177+864x^178+576x^179+102x^180+36x^182+78x^183+122x^186+64x^189+54x^190+30x^192+4x^204+2x^246

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 0.76 seconds.