The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^24+48x^26+84x^27+216x^28+36x^29+1100x^30+432x^31+54x^32+98x^33+24x^35+38x^36+4x^39+2x^42

The gray image is a code over GF(3) with n=135, k=7 and d=72.
This code was found by Heurico 1.16 in 0.00558 seconds.