The generator matrix

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

generates a code of length 97 over Z3[X]/(X^3) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+202x^186+876x^187+954x^188+814x^189+1848x^190+1890x^191+828x^192+2268x^193+1818x^194+762x^195+1914x^196+1638x^197+490x^198+1266x^199+810x^200+396x^201+444x^202+180x^203+104x^204+36x^205+14x^207+42x^208+12x^210+18x^211+18x^214+2x^216+12x^217+6x^219+6x^220+10x^222+2x^231+2x^234

The gray image is a linear code over GF(3) with n=873, k=9 and d=558.
This code was found by Heurico 1.16 in 2.37 seconds.