The generator matrix

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

generates a code of length 13 over Z27 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+28x^21+82x^24+486x^26+90x^27+26x^30+8x^33+8x^36

The gray image is a code over GF(3) with n=117, k=6 and d=63.
This code was found by Heurico 1.16 in 0.00109 seconds.