The generator matrix

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

generates a code of length 12 over Z27 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+18x^21+198x^24+26x^27

The gray image is a code over GF(3) with n=108, k=5 and d=63.
This code was found by Heurico 1.16 in 0.00038 seconds.