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

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+216x^173+220x^174+714x^176+504x^177+198x^178+1158x^179+1028x^180+828x^181+1938x^182+1922x^183+2160x^184+2796x^185+1794x^186+1152x^187+882x^188+658x^189+36x^190+396x^191+206x^192+258x^194+84x^195+162x^197+80x^198+144x^200+30x^201+66x^203+12x^204+12x^206+6x^207+6x^209+14x^210+2x^246

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 3.08 seconds.