The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  3  0  3  1
 0  3  0  0 18  3 21  3 18 21 15 24  3  0 15
 0  0  3  0 21 24 24  9 15 21 18  3  6 15  0
 0  0  0  3 15 12 15 21 18 21 21 21  9 12  0

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

Homogenous weight enumerator: w(x)=1x^0+642x^24+324x^26+1496x^27+1944x^28+1296x^29+6336x^30+3888x^31+1296x^32+2130x^33+330x^36

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 1.64 seconds.