The generator matrix

 1  0  1  1  1  1  1  1 2X^2+X 2X  1  1  1  1  0  1  1  1  1  1 2X  1  1  1 2X^2+X  1 2X  1  1  1  1 X^2+X  1  1  0  1  1  1 2X^2  1  1  1 2X  1  1  1 X^2+2X  1  1  1 X^2+2X X^2+X  1  1  1  1  1  1  1  1  X  1  1  0  1  1  1  1  1  1  1  1 2X^2+2X 2X^2+X  1  1  1  1  1  1  0  X  1  1  1  1  1  1 X^2  1 X^2  1
 0  1  1  2 2X^2+X 2X 2X^2+X+2 2X+2  1  1 2X^2+2X+1 X+1 2X^2 2X^2+2  1 2X+1 2X^2+2X  X 2X^2+X+1  2  1 2X^2+X+2  1 2X+2  1 2X^2+X+1  1  X X^2+X+1 2X^2 2X+2  1 X^2+X 2X+2  1 2X+1 X^2+2X+2 X^2+2X  1  2 X^2+1  0  1 2X^2+2X  0  2  1 X+1 2X^2+1 2X^2  1  1 2X^2 X^2+2X+1 X^2+2X X^2+2 X+2 X+2 2X^2 2X^2+X+2  1 X^2+1 2X+1  1 X^2+2X+2 2X^2+2X+2 X^2+2X 2X^2+2X+2 X^2+X+2 X^2+1 X^2+1 X^2+2X  1  1 2X^2+2 2X^2+2X+2 X^2+X+1 2X^2+X+1 X^2+2X+1 2X+1  X  1 2X 2X^2+X  X  0 2X^2+2X+1 X+1  0 2X+1  1 X+2
 0  0 2X  0  0 X^2 2X^2  0 X^2 X^2 2X^2+2X 2X 2X^2+X  X 2X^2+2X  X 2X^2+X X^2+X  X X^2+2X 2X^2+2X X^2+2X  X 2X^2+2X 2X^2+2X X^2+X 2X 2X^2+X 2X X^2+X X^2+2X 2X^2  0 X^2  0 2X^2+X 2X^2 2X^2 X^2+X 2X X^2+X X^2 2X^2 2X^2+X 2X X^2 X^2+2X 2X^2 X^2+2X  X X^2+2X  0  0  X X^2+2X 2X^2 2X^2+2X X^2+X  X X^2 2X^2+X 2X^2+2X 2X 2X^2+2X X^2+2X X^2+X  0  X  0 X^2 X^2+X X^2+2X 2X^2+X  0 X^2+X X^2+2X 2X^2 2X^2+X X^2 X^2 2X^2+X X^2 X^2+2X X^2 2X 2X^2+X 2X X^2+X  X X^2+2X X^2+X X^2+X
 0  0  0 X^2  0  0  0 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2  0 X^2 X^2 X^2 2X^2  0 2X^2 X^2 2X^2 X^2 2X^2  0 2X^2  0  0 X^2 X^2 X^2 X^2 2X^2  0 2X^2 X^2  0 X^2 2X^2 2X^2  0 2X^2  0 X^2 2X^2 2X^2 2X^2  0 X^2  0 2X^2  0 X^2  0 X^2  0 2X^2 2X^2  0  0 X^2 2X^2  0 2X^2 X^2  0  0 X^2  0 2X^2  0 2X^2  0  0 2X^2 X^2  0 X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2
 0  0  0  0 2X^2 X^2 X^2 2X^2 X^2 2X^2  0  0  0  0 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2  0 2X^2 2X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 2X^2  0  0 2X^2 2X^2 X^2  0 2X^2 2X^2 2X^2 2X^2  0  0 2X^2 2X^2 2X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2 2X^2  0 X^2 X^2  0 X^2  0 2X^2 2X^2 2X^2  0 X^2 2X^2 2X^2 2X^2  0 2X^2  0 X^2 X^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+432x^173+390x^174+558x^175+1620x^176+2082x^177+2142x^178+3222x^179+3044x^180+3330x^181+4662x^182+4914x^183+4752x^184+5238x^185+5162x^186+4500x^187+4470x^188+2946x^189+1854x^190+1380x^191+906x^192+360x^193+498x^194+96x^195+180x^197+70x^198+96x^200+34x^201+42x^203+22x^204+12x^206+12x^207+18x^209+2x^210+2x^216

The gray image is a linear code over GF(3) with n=828, k=10 and d=519.
This code was found by Heurico 1.16 in 20 seconds.