The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^50+186x^51+514x^52+1090x^53+1572x^54+2716x^55+3268x^56+4754x^57+4598x^58+4808x^59+3327x^60+2604x^61+1423x^62+954x^63+401x^64+236x^65+142x^66+36x^67+30x^68+18x^69+9x^70+2x^71+10x^72+2x^73+1x^74+2x^75+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 11.3 seconds.