The generator matrix

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

generates a code of length 97 over Z3[X]/(X^3) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+692x^189+588x^190+696x^191+1218x^192+492x^193+186x^194+588x^195+330x^196+132x^197+566x^198+264x^199+282x^200+362x^201+108x^202+42x^204+10x^207+2x^228+2x^237

The gray image is a linear code over GF(3) with n=873, k=8 and d=567.
This code was found by Heurico 1.16 in 0.604 seconds.