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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 194.

Homogenous weight enumerator: w(x)=1x^0+180x^194+78x^195+252x^196+252x^197+582x^198+378x^199+306x^200+48x^201+72x^203+18x^204+18x^205+2x^288

The gray image is a linear code over GF(3) with n=891, k=7 and d=582.
This code was found by Heurico 1.16 in 32.2 seconds.