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  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  4  4  8  4  1  1  1  2  1  1  1  1  1  4  2  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  4  8  8  8 12  4  0  8 12  0  4  4 12  0  4  8 12  4  8 12 12  8 12  4  4  0  4  4 12  4  4  4  0  4  0  4  4 12  0  8  8  8  8  8 12 12
 0  0 12  0  0  0  4 12  4  4  4  8  0  8  4  4  8  4  4 12  0  4  0  8 12  8  4  0  0 12  0  4 12  0 12 12 12  0  4 12  8  4  0  8  4  0  0  4  4  8  8  4  0 12  0 12  8 12  0
 0  0  0 12  0  4  4  4  8  4  0 12  4  8 12  0  8  0  0  8 12 12  4  0 12 12  4 12  0  4  8  4  0  0  8  8  4  8 12  0  8  4  0  4  0 12 12  4 12  0 12 12  0  8  8 12  4  0 12
 0  0  0  0 12  4  0  4  4  8  0  8 12  4  8  0  4  8  4  4  4 12  8  4  8  4  0  0  0 12  8 12 12  4  0 12 12  4  8  8 12  8  4  0  8  0  0  8  0  0 12  4  8  0  0  8  4 12  0
 0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  8  8  8  8  8  8  8  8  0  8  0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  8  8  8  8  8  8  8  8  0  0  0  8  0  0  0  0  8  8  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0

generates a code of length 59 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+216x^50+395x^52+32x^53+599x^54+288x^55+1231x^56+1504x^57+2739x^58+2496x^59+2763x^60+1504x^61+1102x^62+288x^63+611x^64+32x^65+298x^66+153x^68+83x^70+29x^72+19x^74+1x^92

The gray image is a code over GF(2) with n=472, k=14 and d=200.
This code was found by Heurico 1.16 in 17.3 seconds.