The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1  1  0  1
 0  1  7 26 21  4 20  1 24 19 23  4 19  1  0
 0  0  9  0 18  9 18  0  9 18  0  0  9  9  9
 0  0  0  9  9 18 18  9  9  0  0  9  0  9 18

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

Homogenous weight enumerator: w(x)=1x^0+22x^24+18x^25+252x^26+100x^27+1188x^28+918x^29+644x^30+2322x^31+918x^32+102x^33+36x^34+18x^35+16x^36+4x^39+2x^42

The gray image is a code over GF(3) with n=135, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0209 seconds.