The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+384x^46+252x^48+384x^50+3x^64

The gray image is a code over GF(2) with n=384, k=10 and d=184.
This code was found by Heurico 1.16 in 0.0503 seconds.