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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+68x^49+194x^50+450x^51+429x^52+1408x^53+963x^54+3226x^55+1764x^56+6114x^57+3530x^58+6042x^59+1899x^60+3498x^61+892x^62+1178x^63+333x^64+402x^65+153x^66+108x^67+41x^68+30x^69+25x^70+4x^71+6x^72+2x^74+7x^76+1x^82

The gray image is a code over GF(2) with n=464, k=15 and d=196.
This code was found by Heurico 1.16 in 96.1 seconds.