The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+120x^50+372x^51+758x^52+1262x^53+1712x^54+2546x^55+3435x^56+3772x^57+4855x^58+3940x^59+3634x^60+2368x^61+1504x^62+1160x^63+610x^64+324x^65+206x^66+104x^67+35x^68+18x^69+16x^70+6x^71+6x^72+3x^74+1x^76

The gray image is a code over GF(2) with n=464, k=15 and d=200.
This code was found by Heurico 1.16 in 15.8 seconds.