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

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

Homogenous weight enumerator: w(x)=1x^0+55x^50+82x^51+120x^52+92x^53+283x^54+344x^55+392x^56+1120x^57+809x^58+1858x^59+491x^60+1144x^61+515x^62+324x^63+217x^64+64x^65+107x^66+58x^67+40x^68+12x^69+16x^70+20x^71+14x^72+5x^74+2x^75+5x^76+1x^78+1x^86

The gray image is a code over GF(2) with n=472, k=13 and d=200.
This code was found by Heurico 1.16 in 1.74 seconds.