The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  8  1  2  8  2  2  1  1  1  8  1  1  1  2  1  2  2  2  2  1  2  2  1
 0  2  0  6  0  6  0  6 14  4 10  0  6  6  2 12 14  2  6  6  6 14 12  2  0  2  4  6  0  8  6  8 10  8  8  0  0
 0  0 12  0  0  0  4  0  4  0  4  8  8  0  8  4 12  8  4  0  4  8  4  4 12  4  4  4  0  4  8  0  8  8  4  0  0
 0  0  0 12  0  0  0  0  0  0  0  0  4  8  4  8  4  4  4 12  8  8 12  8 12 12 12  0  4  8  0  4  8 12  8  0  0
 0  0  0  0 12  0  4  4  4  8  8 12  0 12  4  8  4  0  0 12  8  4  8  4  0  0  0  8  0  4  4  8 12  8 12  4  0
 0  0  0  0  0 12  8  4 12  4  4  4 12  8  4  4  0  0  0  8  0  4  8 12  8 12  4  4 12  4  0 12  4  0  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+43x^28+106x^29+239x^30+404x^31+622x^32+1174x^33+1867x^34+3364x^35+5412x^36+6252x^37+5480x^38+3436x^39+1842x^40+1188x^41+596x^42+332x^43+183x^44+106x^45+73x^46+16x^47+23x^48+6x^49+1x^50+2x^52

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 9.95 seconds.