The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^28+76x^29+245x^30+430x^31+865x^32+1694x^33+4736x^34+6554x^35+12414x^36+11146x^37+12817x^38+6634x^39+4590x^40+1682x^41+862x^42+310x^43+207x^44+122x^45+58x^46+24x^47+20x^48+1x^50+1x^58

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 24.3 seconds.