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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+56x^183+48x^184+116x^186+36x^187+1620x^188+144x^189+54x^190+80x^192+24x^193+4x^195+2x^198+2x^282

The gray image is a linear code over GF(3) with n=846, k=7 and d=549.
This code was found by Heurico 1.16 in 0.532 seconds.