The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^49+238x^50+424x^51+1096x^52+1548x^53+3459x^54+4268x^55+8319x^56+7550x^57+11662x^58+7656x^59+8395x^60+4220x^61+3482x^62+1432x^63+935x^64+376x^65+210x^66+96x^67+60x^68+24x^69+19x^70+12x^71+9x^72+2x^73+2x^74+1x^76

The gray image is a code over GF(2) with n=464, k=16 and d=196.
This code was found by Heurico 1.16 in 42.7 seconds.