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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+32x^189+64x^192+162x^194+46x^195+324x^197+40x^198+20x^201+26x^204+8x^207+4x^210+2x^291

The gray image is a linear code over GF(3) with n=294, k=6 and d=189.
This code was found by Heurico 1.16 in 0.155 seconds.