The generator matrix

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

generates a code of length 91 over Z3[X]/(X^3) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+606x^173+1022x^174+1764x^175+3330x^176+3444x^177+3672x^178+5304x^179+4220x^180+4680x^181+4788x^182+4678x^183+3978x^184+4344x^185+3428x^186+2646x^187+2844x^188+1366x^189+1044x^190+900x^191+454x^192+198x^193+174x^194+56x^195+42x^197+2x^198+24x^200+38x^201+2x^204

The gray image is a linear code over GF(3) with n=819, k=10 and d=519.
This code was found by Heurico 1.16 in 10.9 seconds.