The generator matrix

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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+444x^186+432x^187+648x^188+342x^189+216x^190+36x^192+60x^195+2x^198+4x^207+2x^225

The gray image is a linear code over GF(3) with n=846, k=7 and d=558.
This code was found by Heurico 1.16 in 0.416 seconds.