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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+288x^173+194x^174+732x^176+362x^177+252x^178+1074x^179+684x^180+558x^181+2928x^182+1622x^183+1188x^184+4584x^185+1596x^186+774x^187+1008x^188+240x^189+144x^190+372x^191+180x^192+210x^194+94x^195+270x^197+72x^198+138x^200+38x^201+36x^203+18x^204+24x^206+2x^252

The gray image is a linear code over GF(3) with n=828, k=9 and d=519.
This code was found by Heurico 1.16 in 3.35 seconds.