The generator matrix

 1  0  0  1  1  1  1  1  1 15  1  1  1  1  1
 0  1  0 15  1 16 17  9 20  1  7  5  4 21  3
 0  0  1 16  1 15 20 17  6 16 14 25 26 23 10

generates a code of length 15 over Z27 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+54x^25+840x^26+1272x^27+1710x^28+2664x^29+5478x^30+3330x^31+2952x^32+1254x^33+90x^34+24x^35+14x^36

The gray image is a code over GF(3) with n=135, k=9 and d=75.
This code was found by Heurico 1.16 in 0.196 seconds.