The generator matrix

 1  0  1  1  1 12  1  1  6  1  1  4  0  2  1  1  1  1  1
 0  1  1 12 11  1  2 15  1  8  3  1  0  0 10  4  4  0  0
 0  0  2  6  4  6  2  6  0  4  0  2  2  6  6  2  4  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  0  0  0  0
 0  0  0  0  8  0  0  0  8  0  8  8  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  8  0  0  8  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^12+96x^13+249x^14+716x^15+1181x^16+3168x^17+6688x^18+8428x^19+6684x^20+3168x^21+1178x^22+708x^23+250x^24+96x^25+72x^26+4x^27+5x^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 1.51 seconds.