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.