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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+216x^180+162x^182+618x^183+648x^185+408x^186+486x^187+648x^188+1806x^189+972x^190+222x^192+84x^195+42x^198+186x^201+48x^204+12x^207+2x^270

The gray image is a linear code over GF(3) with n=846, k=8 and d=540.
This code was found by Heurico 1.16 in 0.912 seconds.