The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  6  1  1  1 12  1 10  0  1  1 12  1  1  1  1  6  6  1  1  2  2  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  0  5  1  6  3 12  1 10  1  1 15  9  1  0  6  3 12  1  1  6  3  0  0  3
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  8  0  8  8  8  0  0  8  0  0  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  8  0  8  0  0  0  0  8  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  0  8  8  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  0  0  8  0  0  8  0  8  8  8  0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0  8  0  0  8  8  8  8  0  0  0  8  8  0  0  8  0  0  8  0  8
 0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  0  8  8  0  8  8  8  0  0  8  8  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  0  0  0  8  8  0  8  8  8  8  8  8  0  8  8  0  0  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+40x^28+30x^29+94x^30+172x^31+339x^32+888x^33+1777x^34+4936x^35+3906x^36+8404x^37+3885x^38+4976x^39+1776x^40+888x^41+358x^42+152x^43+64x^44+30x^45+20x^46+4x^47+12x^48+9x^50+6x^52+1x^54

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 5.75 seconds.