The generator matrix

 1  0  1  1  1  1  1 21  1 24  0 24 21  1  1
 0  1  7 26 21  4 20  1 24  1  1  1  1 26 16
 0  0  9  0  0  0 18  9  9  9  0 18 18 18  0
 0  0  0  9  0  9  9  9  9  0  9  9  0 18  0
 0  0  0  0 18 18  0 18  0 18  9 18 18 18  0

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

Homogenous weight enumerator: w(x)=1x^0+192x^24+810x^26+446x^27+2430x^28+3240x^29+3726x^30+4860x^31+3240x^32+660x^33+66x^36+12x^42

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 44.9 seconds.