The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  2  2 12  1  0  0  1  1  2  1  0  1  2  1  1  0  4  1  2  1  2 12  0  1  8  1  8  4  1  8  1  1
 0  2  0  2  0  0 14 14  4  6  2  4 12 10 14  4  0 12  4 14 10 10  2  8 10  0 12  2  2 14  4  2  8  6 12  6  2 10  2  2  4  2 12 10  6  4 10  2  2  4  2  0 12  2  2  4  6  0
 0  0  2  2 12  6  6  4  4  0  6 10  8  4 10 10 10  4  0  0  4 14  2 14  6  2  2  4 12 10  2  6  8  8 14  6  0 10 12  6 10  2  2 12 10 14 12  8 14 14 14 12  2  4 12  2  0  0
 0  0  0  4  0  0  4  8  0  0 12  8  0  8 12  0  8  4 12  4  4  8 12 12  0 12 12  0 12  8 12  0  0  4 12  8  8  4  8  0  8  4  4 12 12 12 12  4  4  8  0  8  0  8  0 12  4  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  8  0  8  0  8  8  8  8  0  8  8  8  0  8  8  0  0  8  0  8  8  0  8  0  8  8
 0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  8  0  8  0  0  8  0  0  0  8  8  0  0  0  0  8  0  8  8  0  0  0  8  0  0  8  0  8  0  8  0  8  8  8  0  0  8  0  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+18x^50+190x^51+372x^52+604x^53+871x^54+1218x^55+1742x^56+2264x^57+2316x^58+1830x^59+1690x^60+1364x^61+724x^62+478x^63+326x^64+164x^65+94x^66+52x^67+25x^68+16x^69+9x^70+8x^71+3x^72+4x^73+1x^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 4.53 seconds.