The generator matrix

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

generates a code of length 11 over Z3[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+14x^21+54x^22+8x^24+4x^27

The gray image is a linear code over GF(3) with n=99, k=4 and d=63.
This code was found by Heurico 1.16 in 0.000235 seconds.