The generator matrix

 1  0  0  0  1  1  1 24  1  1  1
 0  1  0  0 15 19 16  1 24  4  9
 0  0  1  0 16 19 14 25 15 24 21
 0  0  0  1 14 21 17  2 22  9  8

generates a code of length 11 over Z27 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+78x^15+2124x^16+1464x^17+13480x^18+10098x^19+72612x^20+53498x^21+164970x^22+142632x^23+53532x^24+14238x^25+2478x^26+178x^27+54x^28+4x^30

The gray image is a code over GF(3) with n=99, k=12 and d=45.
This code was found by Heurico 1.16 in 45.1 seconds.