The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+158x^50+92x^51+591x^52+680x^53+1588x^54+2404x^55+3782x^56+4512x^57+5236x^58+4460x^59+3868x^60+2472x^61+1472x^62+652x^63+447x^64+80x^65+158x^66+8x^67+59x^68+28x^70+18x^72+2x^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 12.4 seconds.