The generator matrix

 1  0  1  1  1  6  1  1  1  1  1 12  1 14  0  1  1  8  1
 0  1 11  6 13  1  8  3 14  5  4  1 15  1  1 10 13  1  0
 0  0 12  0  4  0  4  0  4  8 12  8  0 12  8  0 12  4  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  0  0  0  8  8  0
 0  0  0  0  8  0  8  8  0  8  8  0  8  8  8  0  0  8  0
 0  0  0  0  0  8  0  8  0  8  0  8  0  0  0  8  8  8  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+33x^14+90x^15+324x^16+826x^17+1819x^18+2012x^19+1828x^20+828x^21+311x^22+74x^23+22x^24+10x^25+13x^26+1x^32

The gray image is a code over GF(2) with n=152, k=13 and d=56.
This code was found by Heurico 1.16 in 0.144 seconds.