The generator matrix

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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+59x^50+148x^51+508x^52+654x^53+1646x^54+1510x^55+2707x^56+2070x^57+2691x^58+1568x^59+1549x^60+538x^61+416x^62+104x^63+107x^64+36x^65+14x^66+12x^67+21x^68+12x^69+4x^70+2x^71+3x^72+2x^73+2x^74

The gray image is a code over GF(2) with n=456, k=14 and d=200.
This code was found by Heurico 1.16 in 3.11 seconds.