The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+18x^12+64x^13+111x^14+436x^15+948x^16+4024x^17+5071x^18+11420x^19+5060x^20+4048x^21+949x^22+428x^23+111x^24+56x^25+13x^26+4x^27+5x^28+1x^36

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 1.65 seconds.