The generator matrix

 1  0  1  1  1  1  1 18  1 24  1  0 15  1  0
 0  1  1 26  0 25 17  1 18  1 25  1  1 23  1
 0  0 24  0  9  3 21  3 21  6 12 21  6 18  9
 0  0  0  3 15  9 15 15  9  0  6 21 21 15 24

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

Homogenous weight enumerator: w(x)=1x^0+756x^24+216x^25+1458x^26+2426x^27+7128x^28+5832x^29+17280x^30+14256x^31+5832x^32+3240x^33+270x^34+354x^36

The gray image is a code over GF(3) with n=135, k=10 and d=72.
This code was found by Heurico 1.16 in 1.48 seconds.