The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+48x^51+247x^52+210x^53+661x^54+450x^55+1029x^56+868x^57+1279x^58+836x^59+1063x^60+414x^61+589x^62+168x^63+195x^64+34x^65+21x^66+28x^67+14x^68+8x^69+10x^70+6x^71+10x^72+2x^73+1x^80

The gray image is a code over GF(2) with n=464, k=13 and d=204.
This code was found by Heurico 1.16 in 1.36 seconds.