The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^50+88x^51+436x^52+392x^53+1077x^54+1076x^55+1807x^56+2000x^57+2468x^58+2044x^59+1802x^60+1128x^61+862x^62+364x^63+340x^64+64x^65+154x^66+12x^67+74x^68+27x^70+19x^72+2x^74+2x^78+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 5.29 seconds.