The generator matrix

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

generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 191.

Homogenous weight enumerator: w(x)=1x^0+162x^191+32x^192+216x^193+54x^194+32x^195+108x^196+54x^197+8x^198+54x^200+2x^210+4x^213+2x^237

The gray image is a linear code over GF(3) with n=291, k=6 and d=191.
This code was found by Heurico 1.16 in 86.8 seconds.