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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+14x^195+156x^197+516x^198+16x^201+4x^204+14x^207+2x^219+6x^224

The gray image is a linear code over GF(3) with n=891, k=6 and d=585.
This code was found by Heurico 1.16 in 0.454 seconds.