The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1  1 2X  1  0  1  1  1  1  1  1 2X^2+X 2X  1  1  1 2X^2+X  1  1  0  1  1  1  1  1  1  1  1 2X  1 X^2+2X  1  1  1  1  0 X^2+X  1 2X^2+X X^2  1  1  1 2X  1 2X^2  1 X^2+2X  1  1  1 2X  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  1  1  1 2X^2+2X  1  1 X^2+2X
 0  1 2X^2+2X+1  2 2X^2+X X+1 2X^2+X+2  1 2X 2X+2  1 2X^2+1  1  0 2X^2+2X+1  2 X+1 2X^2+X+2 2X^2+X  1  1 2X+2 2X 2X^2+1  1 2X^2+2X+1  2  1  0 2X^2+X 2X^2+1 2X^2+X+2 2X 2X+2 X^2+2X X+1  1 X^2+X+2  1 X^2+2X+1  0  2 2X^2+X  1  1  0  1  1 2X^2+X+2 X+1 2X+2  1 X^2+2X+2  1 X^2+2X+2  1 X^2+2 2X^2+1 2X^2+X+2  1 X^2+1 2X^2+2X+2 2X 2X^2+2X X^2 2X^2 X^2+X+1 2X^2+2X+1 2X^2+X+1  1 X^2+X X^2 2X 2X^2 2X^2+X 2X^2+2X 2X+1 X^2+1  2  X X^2+2X+2 X^2+2 2X^2+2 2X X^2+2X+1 2X^2+2X+1  X 2X^2+2X X+2  1 X^2+X+2 2X+1 X+2  1 X^2+X+1 2X^2+X+1  1
 0  0 2X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 2X^2  0 2X^2  0 2X^2 2X^2 2X^2 X^2 2X^2  0 X^2  0 X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2  0  0 2X^2 X^2 X^2 2X^2 2X^2  0 2X^2 X^2  0  0  0  0 X^2 2X^2  0 2X^2 X^2  0 2X^2  0 2X^2  0  0 X^2 X^2 2X^2 X^2  0 X^2 X^2 2X^2  0  0 2X^2 X^2  0 X^2 2X^2  0 2X^2 X^2  0 2X^2  0 2X^2 2X^2 X^2  0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2  0 X^2  0  0 X^2  0  0 2X^2 2X^2
 0  0  0 X^2  0  0  0  0  0 2X^2 X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2  0  0  0 2X^2 X^2 X^2 X^2 2X^2 2X^2  0  0 X^2 X^2 X^2  0  0 2X^2 X^2  0  0 2X^2 X^2 2X^2 X^2 2X^2  0  0 X^2 X^2 2X^2 2X^2 2X^2  0 X^2 2X^2 2X^2 X^2 2X^2 2X^2  0  0 2X^2  0  0  0 2X^2 2X^2 2X^2 2X^2  0 X^2  0 2X^2 2X^2 2X^2 2X^2 2X^2  0 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2
 0  0  0  0 2X^2 X^2 2X^2  0 X^2 2X^2 X^2  0 X^2 X^2 2X^2  0 X^2 2X^2 X^2  0 X^2 X^2 2X^2  0 2X^2 X^2 2X^2 2X^2  0 2X^2 2X^2 X^2  0  0  0  0 2X^2 X^2 2X^2 2X^2  0 X^2 X^2 X^2 2X^2 2X^2  0  0 2X^2 2X^2  0 X^2 2X^2 X^2 2X^2  0 X^2 X^2 X^2 X^2  0  0 2X^2  0 X^2 X^2 2X^2 X^2  0 X^2 X^2 2X^2  0 2X^2 2X^2 2X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 2X^2 2X^2  0 2X^2  0  0 2X^2  0 X^2 X^2 X^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+264x^185+372x^186+630x^187+1242x^188+972x^189+1458x^190+1314x^191+984x^192+1692x^193+1410x^194+1188x^195+2070x^196+2034x^197+1038x^198+1242x^199+714x^200+416x^201+198x^202+174x^203+88x^204+90x^206+8x^207+42x^209+16x^210+6x^212+6x^213+6x^216+2x^219+2x^222+2x^228+2x^237

The gray image is a linear code over GF(3) with n=873, k=9 and d=555.
This code was found by Heurico 1.16 in 2.56 seconds.