The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^50+132x^51+457x^52+384x^53+1081x^54+1088x^55+1902x^56+1972x^57+2268x^58+1996x^59+1810x^60+1032x^61+950x^62+488x^63+377x^64+68x^65+128x^66+8x^67+51x^68+41x^70+8x^72+8x^74+2x^76

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 5.26 seconds.