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

generates a code of length 97 over Z3[X]/(X^3) who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+600x^187+726x^188+1464x^189+2166x^190+1614x^191+2036x^192+1938x^193+1320x^194+1282x^195+1392x^196+846x^197+932x^198+816x^199+432x^200+638x^201+522x^202+294x^203+206x^204+342x^205+108x^206+6x^215+2x^219

The gray image is a linear code over GF(3) with n=873, k=9 and d=561.
This code was found by Heurico 1.16 in 1.57 seconds.