The generator matrix

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

generates a code of length 38 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+44x^37+164x^38+44x^39+1x^42+1x^50+1x^60

The gray image is a code over GF(2) with n=304, k=8 and d=148.
This code was found by Heurico 1.16 in 0.0103 seconds.