The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1  6  1  1 10  1  8  1  1  1 12  2  1  2 10  1 12  1  1  1  1  4  1  1  1
 0  1 11  6  5  1 11  0  1  5  1  6 13  1  8  3  1  4  1  2 15  1  1  1 14  1  1 10  2  8  9 15  3  8  0  5  8
 0  0 12  0  0  0  0  4  4 12 12  0  8  8  4  8 12  8 12  8  0  4  0  8 12 12  0  0 12 12  4  8  0  8  8  4  0
 0  0  0 12  0  4  4  4 12 12  8  0  4  8  8  0 12  4  8 12  8  8  8  4  8  8  8  0  4  8  4  8  0 12  8  4  4
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  0  0  8  8  8  8  0  8  8  8  0  8  8  0  0  8  8  0  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  8  0  0  0  8  8  8  8  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  8  8  8  8  8  0  8  8  0  0  8  8  0  8  0  0  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  8  0  8  0  0  8  8  8  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+28x^28+106x^29+226x^30+318x^31+883x^32+1848x^33+4541x^34+7898x^35+10685x^36+12398x^37+10745x^38+7910x^39+4582x^40+1946x^41+818x^42+238x^43+190x^44+80x^45+52x^46+20x^47+12x^48+6x^49+1x^50+1x^52+1x^54+2x^56

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 22.8 seconds.