The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1 14  2  6  4  1  2
 0  1 11  6  1  1  0  3  1 14  1  5 14  1  2  1  8  8  6
 0  0 12  0  0  0  0  0  0  8  8  4  4 12  4  4  8  4  4
 0  0  0 12  0  0 12  8 12  8  4  4  4  4 12  8 12  0  4
 0  0  0  0  4  4 12  8  4 12  0  8  4  4  4  4  0  8  0
 0  0  0  0  0  8  8  8  8  8  0  0  0  0  8  0  8  8  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+62x^13+158x^14+556x^15+1401x^16+3618x^17+6632x^18+7912x^19+6632x^20+3618x^21+1401x^22+556x^23+158x^24+62x^25+1x^38

The gray image is a code over GF(2) with n=152, k=15 and d=52.
This code was found by Heurico 1.16 in 2.16 seconds.