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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 193.

Homogenous weight enumerator: w(x)=1x^0+114x^193+44x^195+22x^198+42x^202+8x^204+4x^207+6x^211+2x^240

The gray image is a linear code over GF(3) with n=294, k=5 and d=193.
This code was found by Heurico 1.16 in 1.32 seconds.