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

generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+274x^192+324x^194+374x^195+648x^197+454x^198+102x^201+4x^204+2x^207+2x^210+2x^279

The gray image is a linear code over GF(3) with n=882, k=7 and d=576.
This code was found by Heurico 1.16 in 60.3 seconds.