The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  2  2  4  4  2  4  4
 0 12  0  0  0  0  0  0  8 12  4  4  8  4  0  8  0 12  0
 0  0 12  0  0  0  4 12 12  4  4  0  0  8  0 12 12  8  8
 0  0  0 12  0  4  4 12  0  8  8  8  8  4  4 12  8  4  8
 0  0  0  0 12  4  0 12  4 12  0 12 12  8  4  0  0  4 12
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  0  8
 0  0  0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+198x^12+24x^13+744x^14+336x^15+2345x^16+2792x^17+6852x^18+5984x^19+7100x^20+2792x^21+2372x^22+336x^23+686x^24+24x^25+140x^26+38x^28+4x^30

The gray image is a code over GF(2) with n=152, k=15 and d=48.
This code was found by Heurico 1.16 in 22 seconds.