The generator matrix

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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 193.

Homogenous weight enumerator: w(x)=1x^0+84x^193+36x^195+156x^196+1644x^198+108x^199+114x^202+18x^204+24x^205+2x^297

The gray image is a linear code over GF(3) with n=891, k=7 and d=579.
This code was found by Heurico 1.16 in 0.742 seconds.