The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+320x^168+492x^169+1326x^170+3138x^171+4194x^172+4650x^173+7386x^174+7758x^175+9090x^176+14298x^177+11694x^178+13356x^179+16786x^180+14736x^181+14040x^182+15554x^183+11112x^184+8748x^185+7670x^186+4356x^187+2298x^188+2006x^189+912x^190+330x^191+424x^192+66x^193+54x^194+122x^195+60x^196+48x^197+56x^198+12x^199+6x^200+18x^201+18x^204+12x^205

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 87.6 seconds.