The generator matrix

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

generates a code of length 96 over Z3[X]/(X^3) who´s minimum homogenous weight is 185.

Homogenous weight enumerator: w(x)=1x^0+474x^185+888x^186+1458x^187+2352x^188+1784x^189+1470x^190+2232x^191+1136x^192+942x^193+1440x^194+1098x^195+942x^196+918x^197+604x^198+486x^199+618x^200+298x^201+204x^202+222x^203+100x^204+6x^205+2x^207+6x^209+2x^213

The gray image is a linear code over GF(3) with n=864, k=9 and d=555.
This code was found by Heurico 1.16 in 1.5 seconds.