The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+148x^38+78x^40+26x^42+1x^48+2x^50

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 0.11 seconds.