The generator matrix

 1  1  1  1  1  1  1  1  3  3  1
 0  9 18  0  9 18  0  9  9 18  0

generates a code of length 11 over Z27 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 code over GF(3) with n=99, k=4 and d=63.
This code was found by Heurico 1.16 in 0.00025 seconds.