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  2  1  4  2  8  1  2  0  1  2  4  1  1  2  1  1  1  1 12  1  2  1  1  2  8  1  2  1  2  1  1  2  1  0  1
 0  2  0  2  0  0  6  6  4  4 10  6 12  4 14 14  4 14  2  2 12  8 14  6  0  2 10  2  0 14  0 12  8  4 10 12  8  2  6 10  0  2 14  2 12  4 14  4  2  2 12  0  8  2  2  0  2  0
 0  0  2  2 12  6  6  0 12  2 14 12  0  6  6  4 12  2  4  4 14  8  2  0 14  2 14  4 14  4  2  4 14  2 14 14  2 12 10 10  6 14  8  2 12  0  2  2  0  4 14 10 10  2 12  6  6  0
 0  0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  8  8  0  0  0  0  8  0  0  8  8  8  0  0  0  0  0  8  0  8  0  0  8  0  8  8  8  8  0  8  0  8  0  0
 0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0  0  8  0  0  8  0  8  0  0  8  0  8  8  8  8  0  8  0  8  8  8  0  0  0  8  0  8  0  8  0  0  0  0  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  8  0  0  8  8  8  8  0  8  0  0  0  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  0  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  8  8  0  0  8  0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  8  8  0  8  8  0  8  0  8  0  8  8  0  8  8  0  0  8  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+51x^50+166x^51+350x^52+522x^53+1025x^54+998x^55+2197x^56+1428x^57+3071x^58+1384x^59+2241x^60+1052x^61+855x^62+348x^63+301x^64+180x^65+106x^66+42x^67+24x^68+18x^69+7x^70+6x^71+5x^72+3x^74+1x^76+1x^78+1x^82

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 4.51 seconds.