The generator matrix

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

generates a code of length 97 over Z3[X]/(X^3) who´s minimum homogenous weight is 185.

Homogenous weight enumerator: w(x)=1x^0+672x^185+1212x^186+2034x^187+3342x^188+3374x^189+3564x^190+5382x^191+3982x^192+4284x^193+5622x^194+4194x^195+3564x^196+4440x^197+3258x^198+2592x^199+2418x^200+1642x^201+1116x^202+1158x^203+480x^204+342x^205+210x^206+48x^207+54x^209+28x^210+12x^212+6x^216+12x^218+6x^221

The gray image is a linear code over GF(3) with n=873, k=10 and d=555.
This code was found by Heurico 1.16 in 11.8 seconds.