The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^30+282x^31+955x^32+2374x^33+4432x^34+7736x^35+11112x^36+11614x^37+11291x^38+7580x^39+4558x^40+2306x^41+703x^42+328x^43+132x^44+26x^45+18x^46+10x^47+10x^48+1x^50

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 18.4 seconds.