The generator matrix

 1  0  1  1  1 12  1  1  2 14  1  1  1  8 10  1  1  1  8  1  2  1  1  4  1  1  4 12  1  1  2  2 10  1  2  1  1
 0  1  1 12 11  1  2  7  1  1 13  6  3  1  1  4 14  9  1 11  1  4 14  1  3 15  2  1  8 10 12  8  1  4  4  0  0
 0  0  2  6  4  6  2 14  2  4  4  0  0 12  6  2  4  6  2  2  4  4  2  4  6  8  2  0  2  8  6  2 14 12 12  0  0
 0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  0  0  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  8  0  8  8  8  0  8  0  8  0  8  0  8  8  0  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  8  0  0  8  0  8  0  8  8  8  8  8  8  0  0  8  8  0  0  0  0  0  0  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  8  0  0  0  8  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^28+24x^29+334x^30+320x^31+1251x^32+1856x^33+4373x^34+7664x^35+10392x^36+13024x^37+10365x^38+7648x^39+4412x^40+1952x^41+1238x^42+240x^43+262x^44+40x^45+68x^46+16x^48+5x^50+4x^52+1x^54

The gray image is a code over GF(2) with n=296, k=16 and d=112.
This code was found by Heurico 1.16 in 20.8 seconds.