The generator matrix

 1  0  1  1  1 14  1  1  0  1  1  2  6  1  1  1 12  1  1  1  1  1  4  1  1  1  8  1  1  1  4 14  2  6  2 14  1
 0  1 11 14  5  1  0  3  1  6 13  1  1  4 15  1  1 10 12  7  9  8  1  4  2  5  1  6 11  0  8  1 14  1  8  1  0
 0  0 12  4  0  4 12  0 12  8 12  4  0  4  8  4  0  8  0  4  0 12  4  4 12  8  4  0 12  8  4 12 12  8  4  4  0
 0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  8  8  0  0  8  0  0  0  8  8  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  8  0  8  8  0  8  8  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  0  8  8  0  8  8  8  0  0  8  8  8  8  8  8  8  0  8  0  0  8  8
 0  0  0  0  0  0  0  8  0  8  0  8  8  8  8  0  0  0  8  0  0  8  0  8  0  8  0  8  0  8  8  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  0  8  0  8  0  8  8  0  0  0  0  0  8  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+60x^28+104x^29+219x^30+270x^31+1030x^32+1740x^33+5243x^34+6358x^35+12828x^36+9660x^37+12986x^38+6392x^39+5334x^40+1732x^41+946x^42+280x^43+181x^44+76x^45+59x^46+10x^47+19x^48+3x^50+2x^51+2x^52+1x^60

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 22.3 seconds.