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  X
 0  X  0  0  0  0  0  0  0  0 2X  X  X  X  X  X  X  X  X  X  0 2X  0  X  0  X  0 2X 2X  0  X  X  X  X 2X  0  X 2X  0  0 2X 2X  0 2X 2X 2X 2X  0 2X 2X  X 2X  0 2X 2X 2X  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  0  X  0  X 2X  0  X 2X  X 2X  X  X  0
 0  0  X  0  0  0  X  X  X 2X  0  X 2X  0 2X 2X  X  X  X  0  0  X  X  0  0 2X  X  X 2X 2X  0  X 2X 2X 2X 2X  0  0 2X 2X  X 2X  0 2X  X 2X  0  X  0  X  X  0 2X  X  0 2X  0 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  0  X 2X  X  X  0  0 2X  0  X 2X 2X  0  X
 0  0  0  X  0  X 2X  X  X  0  0 2X 2X  X  0  0  X  X 2X  X 2X  X 2X  0  X 2X 2X  X 2X  0  0 2X  0 2X 2X  0  X  0 2X 2X 2X  0  0 2X 2X  0  X  X  X  X  X  X 2X 2X  0  0 2X  X  0  0  X 2X  X 2X  0  0 2X  X 2X 2X  0  0  X  X  X  X  0 2X 2X  0  X  0  0  X 2X 2X  X  0  0  X 2X  X  0  X  X  0  0
 0  0  0  0  X 2X  X  0  X  X  X 2X  0 2X  X  0 2X  X  0  X 2X 2X 2X 2X  X  X  0  0  0 2X  X  X 2X 2X 2X  0  0  0  0 2X  0  X 2X  X  X  0  X 2X  0  X  0 2X  X 2X 2X 2X  0  0  X 2X 2X  X  X  X  X  0 2X  X  0  0  X  0 2X  X  0  0 2X  X 2X 2X 2X  0  X 2X 2X 2X 2X 2X  0  X  0  0  X 2X  0  0  0

generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+116x^189+162x^192+324x^195+114x^198+10x^207+2x^288

The gray image is a linear code over GF(3) with n=291, k=6 and d=189.
This code was found by Heurico 1.16 in 0.207 seconds.