The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^12+98x^13+220x^14+518x^15+2018x^16+6230x^17+14085x^18+19090x^19+14087x^20+6206x^21+2021x^22+538x^23+217x^24+74x^25+55x^26+14x^27+2x^28+3x^30

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 7.36 seconds.