The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  2  0  1  1  1  2  1  4 12  1  1  2  2  1  1  2  1  1  4  8  1  2
 0  2  0 14  4  6 12  2  0  6 14 12  6  2  8 14  2  2 14 10 10  4  2  2 12  0  2 14  4  0  4  2 10  4  4  4  0
 0  0 12  4  4  0  0  4  0  0  4  8  0  4  4  4  8  4  4  0  0  4 12  8  0  8  4 12 12  0 12 12  0  4  4 12  8
 0  0  0  8  0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  8  8  0  8  8  8  8  8  0  8  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  8  8  0  8  8  0  8  8  8  8  8  0  8  0  8  0  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  0  8  0  0  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  8
 0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  8  0  0  0  8  8  0  8  0
 0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  0  8  0  0  8  8  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  0

generates a code of length 37 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+116x^28+8x^29+266x^30+216x^31+834x^32+848x^33+3016x^34+2416x^35+6986x^36+3296x^37+7016x^38+2336x^39+3267x^40+944x^41+628x^42+144x^43+268x^44+24x^45+78x^46+8x^47+41x^48+4x^50+6x^52+1x^56

The gray image is a code over GF(2) with n=296, k=15 and d=112.
This code was found by Heurico 1.16 in 9.6 seconds.