The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3 24  0 21 24  0 21 24  9 21  6  9
 0  0  9  0  9  0 18  9  9  9 18 18 18
 0  0  0  9 18  9  9  0  9  9  0  0 18

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

Homogenous weight enumerator: w(x)=1x^0+56x^21+48x^22+116x^24+36x^25+1620x^26+144x^27+54x^28+80x^30+24x^31+4x^33+2x^36+2x^39

The gray image is a code over GF(3) with n=117, k=7 and d=63.
This code was found by Heurico 1.16 in 0.0046 seconds.