The generator matrix

 1  1  1  1  1  1  1  1  1  1  0  1  1
 0  3  0  0 18  3 21  3 18  9  3 15  3
 0  0  3  0 21 24 24  9 15 18 18  3  3
 0  0  0  3 15 12 15 21 18  6  9  3  9

generates a code of length 13 over Z27 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+96x^19+144x^20+272x^21+486x^22+330x^23+2006x^24+936x^25+9216x^26+3928x^27+1146x^28+414x^29+340x^30+252x^31+102x^32+10x^33+4x^36

The gray image is a code over GF(3) with n=117, k=9 and d=57.
This code was found by Heurico 1.16 in 0.229 seconds.