The generator matrix

 1  0  1  1  1 14  1  1  0  1  1  1  1  1  8 14  1  2  1
 0  1 11  6  5  1 11  0  1  6  8  3 15  5  2  1 14  6  8
 0  0 12  0  0  0  0  4  4  8  4 12  8 12  0 12 12  0  0
 0  0  0 12  0  4  4  4  4  0  8 12  0 12  4  8  8  8  4
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  0
 0  0  0  0  0  0  0  8  8  8  0  0  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+77x^12+128x^13+222x^14+834x^15+1575x^16+8462x^17+10415x^18+22090x^19+10408x^20+8486x^21+1582x^22+870x^23+224x^24+74x^25+64x^26+14x^27+3x^28+2x^29+4x^30+1x^34

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 5.67 seconds.