The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+110x^38+56x^39+47x^40+32x^41+2x^42+8x^43

The gray image is a code over GF(2) with n=312, k=8 and d=152.
This code was found by Heurico 1.16 in 0.0114 seconds.