The generator matrix

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

generates a code of length 19 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+56x^12+136x^13+272x^14+792x^15+1995x^16+7156x^17+12011x^18+20664x^19+12021x^20+7204x^21+1995x^22+808x^23+255x^24+92x^25+57x^26+8x^27+7x^28+4x^29+1x^30+1x^32

The gray image is a code over GF(2) with n=152, k=16 and d=48.
This code was found by Heurico 1.16 in 6.38 seconds.