The generator matrix

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

generates a code of length 90 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+232x^168+474x^169+1944x^170+2356x^171+3366x^172+5832x^173+7082x^174+7662x^175+11208x^176+12350x^177+10572x^178+16722x^179+15408x^180+12576x^181+16872x^182+14226x^183+9738x^184+10368x^185+6816x^186+4086x^187+3414x^188+1642x^189+996x^190+504x^191+260x^192+42x^193+102x^194+100x^195+60x^196+54x^197+6x^198+30x^200+14x^201+12x^203+14x^204+6x^206

The gray image is a code over GF(3) with n=810, k=11 and d=504.
This code was found by Heurico 1.16 in 95.8 seconds.