The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^50+32x^51+239x^52+428x^53+697x^54+1424x^55+1442x^56+2980x^57+1908x^58+2984x^59+1451x^60+1428x^61+608x^62+416x^63+164x^64+28x^65+60x^66+8x^67+21x^68+15x^70+8x^72+6x^74+1x^76+1x^80

The gray image is a code over GF(2) with n=464, k=14 and d=200.
This code was found by Heurico 1.16 in 3.16 seconds.