The generator matrix

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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+378x^47+803x^48+1300x^49+1413x^50+1264x^51+966x^52+724x^53+561x^54+410x^55+181x^56+84x^57+40x^58+60x^59+4x^61+1x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=408, k=13 and d=188.
This code was found by Heurico 1.16 in 0.551 seconds.