The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^30+334x^31+838x^32+1346x^33+2215x^34+3816x^35+4778x^36+5482x^37+5397x^38+3744x^39+2204x^40+1286x^41+643x^42+320x^43+142x^44+46x^45+29x^46+10x^47+5x^48+2x^50

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 8.82 seconds.