The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  2  0  1  2  1  2  1  1  8 12  1  4  2  1  1  2  2  1  1  1  1  1
 0  2  0  6  0  6  0  2  4  6 12 12 10  2  2 14  2  4  6 14 14  8  0  2  2  4  4 10  8  2  2 12  2  4  6  4  0
 0  0 12  0  0  4  4  4  4  0  8 12  4  8  4  8  0  0 12 12 12  8 12  0  0  4  4  8  4  4  0  4  8  4  0 12  0
 0  0  0 12 12  4  4  0  8  8  8 12 12 12  8 12  8  4  4  8  8 12 12 12  0  8  0  8  8  8 12 12 12  8  8  0  0
 0  0  0  0  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  0  8  8  0  0  0  0  0  0  8  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  0  0  8  8  0  8  0  8  0  0  0  8  8  0  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  0  8  8  8  0  8  0  8  0  8  0  8  0  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  0  8  8  8  8  0  8  8  0  0  0  0  8  8  8  8  0  8  8  8  8  8  8  0  8  0  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+34x^28+112x^29+187x^30+346x^31+571x^32+1036x^33+2101x^34+3860x^35+4959x^36+5760x^37+5886x^38+3680x^39+1968x^40+1184x^41+482x^42+284x^43+132x^44+96x^45+39x^46+22x^47+12x^48+4x^49+9x^50+3x^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 9.67 seconds.