The generator matrix

 1  0  1  1  1  1 21  1  1  1  1  1  0  1  1
 0  1  1 26 18 17  1 16 20 14 26 25  1 23 25
 0  0 24  0 21 21 18 15  6 12  9 12 15 18 12
 0  0  0  9 18  9 18  9  0  9  0  0 18  9  9

generates a code of length 15 over Z27 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+158x^24+144x^25+444x^26+772x^27+3000x^28+1404x^29+5120x^30+5886x^31+1530x^32+904x^33+198x^34+24x^35+82x^36+6x^37+10x^39

The gray image is a code over GF(3) with n=135, k=9 and d=72.
This code was found by Heurico 1.16 in 0.178 seconds.