The generator matrix

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

generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 188.

Homogenous weight enumerator: w(x)=1x^0+258x^188+174x^189+366x^191+174x^192+168x^194+64x^195+222x^197+132x^198+108x^200+48x^201+84x^203+8x^204+132x^206+94x^207+84x^209+24x^210+36x^212+4x^216+4x^219+2x^228

The gray image is a linear code over GF(3) with n=294, k=7 and d=188.
This code was found by Heurico 1.16 in 81.6 seconds.