The generator matrix

 1  0  0  0  1  1  1  6  1  1  1  6  1
 0  1  0  0  6  1  7  1  0  7  4  1  6
 0  0  1  0  7  1  5  7  6  1  8  3  2
 0  0  0  1  5  3  8  2  4  1  3  7  6

generates a code of length 13 over Z9 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+102x^19+144x^20+272x^21+462x^22+330x^23+548x^24+972x^25+468x^26+1012x^27+1122x^28+414x^29+340x^30+258x^31+102x^32+10x^33+4x^36

The gray image is a code over GF(3) with n=39, k=8 and d=19.
This code was found by Heurico 1.16 in 0.0701 seconds.