The generator matrix

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

generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 193.

Homogenous weight enumerator: w(x)=1x^0+162x^193+156x^195+1674x^196+78x^198+54x^199+54x^202+4x^213+2x^216+2x^240

The gray image is a linear code over GF(3) with n=882, k=7 and d=579.
This code was found by Heurico 1.16 in 0.452 seconds.