The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+18x^37+84x^38+18x^39+2x^41+1x^42+2x^43+1x^44+1x^50

The gray image is a code over GF(2) with n=304, k=7 and d=148.
This code was found by Heurico 1.16 in 0.0165 seconds.