The generator matrix

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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+204x^187+414x^188+102x^190+4x^204+2x^210+2x^228

The gray image is a linear code over GF(3) with n=846, k=6 and d=561.
This code was found by Heurico 1.16 in 0.249 seconds.