The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1
 0  1 16 26 21  4 20  1 24 19 23  1  9

generates a code of length 13 over Z27 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+204x^24+36x^25+54x^26+410x^27+18x^28+6x^30

The gray image is a code over GF(3) with n=117, k=6 and d=72.
This code was found by Heurico 1.16 in 0.000573 seconds.