The generator matrix
1 0 1 1 1 1 1 1 1 1 X
0 1 2X^2+2X+1 2 2X^2+X X+1 2X 2X^2+1 0 2X^2+2X+1 2X
0 0 2X^2 0 2X^2 X^2 0 2X^2 X^2 X^2 0
0 0 0 X^2 2X^2 2X^2 2X^2 X^2 0 X^2 0
generates a code of length 11 over Z3[X]/(X^3) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+432x^18+810x^20+990x^21+972x^22+2592x^23+684x^24+80x^27
The gray image is a linear code over GF(3) with n=99, k=8 and d=54.
This code was found by Heurico 1.16 in 0.112 seconds.