The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1 2X  1  1  1  1  0  1 2X  1  1  1 2X^2+X  1  1  1  1  1  0  1  1 2X^2+X 2X  1  1  1  1  1  1  0  1  1 2X^2+X  1  0  1  1  1  1  1 2X  1  1  1  1  1 X^2  1  1  1  1 X^2+2X  1  0 2X^2+X X^2+2X 2X  1  1  1  1  1  1  1 X^2+2X X^2+X  1 2X  1 X^2  1  1  1  1 2X^2+X  1 2X^2+2X  1  1  1  1  1  1
 0  1 2X^2+2X+1  2 2X^2+X X+1 2X^2+X+2  1 2X^2+1  1 2X 2X+2  2  0  1 2X^2+2X+1  1 X+1 2X^2+X+2 2X^2+X  1 2X+2 2X^2+1 2X 2X^2+X+2 2X^2+X  1 X+1 2X+2  1  1  2 2X^2+1 2X  0 2X^2+2X+1 2X^2+X+2  1 2X 2X^2+2X+1  1  2  1 X^2+2X X^2+X+2 2X^2+1 2X^2+2X+1  2  1 2X^2+X X+1  0 2X+2 X^2+2  1 2X 2X^2+1 X^2+2X+1 X^2+X+2  1 2X^2+2  1  1  1  1 2X+2 2X^2+X 2X^2+X+2 X^2+X X+2 X^2+2X+2 X^2+2X+2  1  1 X^2+2X+1  1 2X^2+2X+1  1  0 2X+2 X^2+2X X+2  1 X^2+2X+1  1 2X+1 2X^2+2X X+1 2X+1 2X 2X^2+X
 0  0 2X^2  0  0  0 2X^2 2X^2 X^2 2X^2 2X^2  0 X^2  0 X^2  0 X^2 X^2 X^2 2X^2  0  0 X^2 2X^2 X^2 2X^2  0 X^2 2X^2 X^2  0 X^2 2X^2 X^2 2X^2 2X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0 2X^2 X^2 X^2  0 2X^2 2X^2  0  0  0  0 2X^2  0 X^2 2X^2 2X^2  0 2X^2 X^2  0  0 X^2 X^2 2X^2  0 X^2 2X^2 2X^2 X^2 2X^2 X^2  0 2X^2 X^2 X^2 X^2  0  0 X^2  0 2X^2 X^2  0 2X^2
 0  0  0 X^2  0  0 2X^2 2X^2  0 X^2  0 X^2  0 X^2 2X^2 2X^2 X^2 X^2 2X^2  0  0 2X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 2X^2  0  0 2X^2  0 X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 X^2 X^2  0 2X^2 X^2 2X^2 X^2 X^2 X^2 X^2 X^2 2X^2 X^2 2X^2  0  0  0 2X^2  0 X^2 2X^2 2X^2  0  0  0 2X^2 2X^2 2X^2  0 2X^2  0 2X^2 X^2  0 X^2 2X^2 X^2 X^2  0  0
 0  0  0  0 2X^2  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2  0 2X^2  0  0 2X^2 X^2 2X^2  0 2X^2 2X^2 X^2  0 X^2  0  0 2X^2 X^2  0 X^2 X^2 2X^2  0  0 2X^2 X^2  0 2X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2  0  0 2X^2 2X^2 X^2 X^2  0  0 X^2  0  0 X^2  0  0 2X^2  0 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2  0  0  0 X^2 2X^2  0 2X^2  0 2X^2 X^2  0  0 X^2 2X^2  0 X^2 2X^2 X^2 2X^2  0 2X^2
 0  0  0  0  0 X^2  0 2X^2 2X^2 X^2  0 X^2 X^2  0  0 X^2 2X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2  0 X^2 2X^2  0 X^2  0 2X^2 2X^2  0  0 X^2 2X^2 X^2  0 2X^2 2X^2 X^2 X^2 X^2 X^2  0  0 2X^2  0  0  0 X^2 2X^2 2X^2  0 2X^2  0 2X^2  0 2X^2 X^2  0 X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 X^2  0 X^2  0 X^2 2X^2  0  0 2X^2 2X^2  0 2X^2  0

generates a code of length 91 over Z3[X]/(X^3) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+54x^168+228x^170+386x^171+378x^172+876x^173+1200x^174+1692x^175+1476x^176+2430x^177+4248x^178+2334x^179+4446x^180+7650x^181+2802x^182+5572x^183+7668x^184+3126x^185+3950x^186+4014x^187+1458x^188+1218x^189+558x^190+576x^191+238x^192+36x^193+198x^194+94x^195+30x^197+28x^198+12x^200+12x^201+6x^203+12x^204+8x^207+12x^210+10x^213+2x^222+4x^225+4x^228+2x^234

The gray image is a linear code over GF(3) with n=819, k=10 and d=504.
This code was found by Heurico 1.16 in 14.9 seconds.