The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  4  4  2  2  4  1  1  4  1  4  2  1
 0 12  0  0  0  0  0  0  0 12 12  4  4  4  4  4  0 12  4  8  0  4  4  8 12 12  0  8 12 12  4 12  4  0  4  8  0
 0  0 12  0  0  0  4 12  4  4 12  8  4  8  8  4  0  4  0 12 12  8  0  0  8 12 12  4  0  4  8  4  0  4 12  4 12
 0  0  0 12  0  4  4 12  0  8 12 12 12 12  8  0 12  0  0  4 12  4  4  4  8  4  4  0 12  0  8  4 12  0  4  4  4
 0  0  0  0 12  4  0 12  4 12  8  4 12  8 12  0  4  4  0  8  4  4  0  8  8  8 12  0 12  4  4 12  0  0  4 12 12
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  8  0  0  0  8  0  0  8  0  0  8  8  0  8  0  0  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  0  8  8  8  8  8  8  8  8  8  8  8  0  0  8  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  8  8  0  8  8  0  8  8  8  0  0  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+188x^28+536x^30+48x^31+1091x^32+624x^33+2638x^34+2848x^35+5723x^36+5344x^37+5768x^38+2672x^39+2878x^40+688x^41+1004x^42+64x^43+438x^44+160x^46+45x^48+6x^50+3x^52+1x^64

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 12.6 seconds.