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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+112x^189+456x^192+576x^195+1458x^196+972x^197+398x^198+1944x^200+174x^201+144x^204+78x^207+126x^210+90x^213+30x^216+2x^288

The gray image is a linear code over GF(3) with n=891, k=8 and d=567.
This code was found by Heurico 1.16 in 1.01 seconds.