The generator matrix

 1  0  1  1  1  4  1  1 14  1  1 10 12 10  1  1  1  1  1  1  8  1  1  0  8  1  1  2  0  2  1  1  2 12 10  2  4
 0  1  1  0 11  1 14 15  1  2 13  1  1  1  3  2 11 10  6  9  1 10  5  1  0 14  8  8  1 14 13  7  2  1  1  2  1
 0  0  2  6  0  2  8  2  0  2  4  2 10 14  8  6 10  4  6  2  0  4  8 10  2  2 10  2  4  6  8 12 14  6  8  6  6
 0  0  0 12  0  0  0  0  0  4  8  0  0  0  8  4  8  8  4  4 12 12 12 12  0  8  4  8 12  4  4  4  8 12  0  0  4
 0  0  0  0 12  0  4  4 12  4  8  4 12  8  0  8  0  4  4  0  8  8  4  0  4 12 12  8  4  0  0 12  8 12  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  8  0  8  0  8  0  0  0  0  8  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+226x^30+376x^31+1274x^32+1880x^33+4880x^34+7108x^35+10994x^36+11984x^37+11116x^38+7124x^39+4964x^40+1912x^41+1056x^42+300x^43+222x^44+32x^45+66x^46+4x^47+17x^48

The gray image is a code over GF(2) with n=296, k=16 and d=120.
This code was found by Heurico 1.16 in 23.8 seconds.