The generator matrix

 1  0  0  1  1  1 15  1  1  1 24 15  1
 0  1  0  1 15 26  1 16 17 18 24  1  0
 0  0  1 26 16 26 22 20 18 21  1 11  1
 0  0  0 24 15  9  3  3 21  6  6 18 12

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

Homogenous weight enumerator: w(x)=1x^0+126x^19+984x^20+792x^21+4716x^22+5244x^23+24204x^24+17658x^25+49320x^26+47396x^27+18072x^28+7080x^29+1224x^30+252x^31+66x^32+6x^33+6x^36

The gray image is a code over GF(3) with n=117, k=11 and d=57.
This code was found by Heurico 1.16 in 7.69 seconds.