The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1 12  2  1  1  1  1  1  4  6  1  1  1 10 14  1  1  0  1  1  2  8  2  2  1
 0  1 11  6 13  1  0  3  1  6  1  5  2  1  1  7  8  5 14  3  1  1 12 11  2  1  1  9  0  1 11 12 10  1  1  2  3
 0  0 12  0  4  0  0  4  8  0  8  4  0  0  8 12  4  8 12  0  0  4  4  8 12  0  4  8  8  4  8 12 12  0  4  0  4
 0  0  0 12  0  0 12  4 12  8  4  4 12  8  4  0  8  8  0  0  4  4 12 12  8  8  8  8  8  4 12  0  4 12  8  4 12
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  0  8  8  8  0  8  0  8  8  8  0  0  0  0  8  0  8  0  0  8  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  8  8  0  0  8  0  0  0  8  8  8  8  8  8  8  0  8  0  8  8  0  8  8  8  8  0  8  0  8  8

generates a code of length 37 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+133x^30+80x^31+533x^32+892x^33+2273x^34+3584x^35+5774x^36+6220x^37+5834x^38+3664x^39+2247x^40+820x^41+406x^42+96x^43+138x^44+4x^45+57x^46+10x^48+1x^50+1x^56

The gray image is a code over GF(2) with n=296, k=15 and d=120.
This code was found by Heurico 1.16 in 7 seconds.