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  1  1  1  8  1  2  1  1  0  1  0  2  1  4  1  4  1  1  1  2  1  1  2  1  1  4  1 12  1  1  2  4  2  1  1  1  1
 0  2  0  6  0  6  8  2  4  6  4 10 14  2  0  8  6 12  2  0  6  2  0 12  2  2  6 10  6  0  2  4  2  6  4  2  8  2 12  6  8 14 14 14  4  0  6  0  8  2  0  0 14 12 10  6  6  8  0
 0  0 12  0  0  0 12  0 12  0  4  8  0  8  8  0  4 12  4  4  8  0 12 12  4 12 12  8  4  8  4  0  4 12  0 12  8  8  0  0  8  4  0 12  0  0  4  4  0  8  0  8  8  4  4  4 12  8  0
 0  0  0 12  0  0  0  4  8  4  8 12  8  8 12 12  0  4  0  4  4  4 12 12 12  4 12 12  8  0  8 12 12  0  0  8  4  4  0  4  4  0 12 12  4  4  4  0 12  4  8  4  8  8  0  8  0  8  0
 0  0  0  0 12  0  4  8  0  4  4 12 12 12  4  0 12 12  8  4 12  4  8  0  4  4  8 12  8  0 12  0  0  4  4  0 12  8 12  8  0  8  4  0  4 12  4  4  8  4  8  4  4  0 12  8  0  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  8  0  8  0  8  8  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0  8  8  8  0  8  0  0  0  0  0  0  0  0  8  8  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+48x^50+114x^51+201x^52+324x^53+468x^54+736x^55+1283x^56+1754x^57+2070x^58+2398x^59+2237x^60+1746x^61+1217x^62+724x^63+410x^64+226x^65+131x^66+102x^67+76x^68+42x^69+30x^70+20x^71+14x^72+4x^73+3x^74+2x^75+2x^76+1x^86

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 5.25 seconds.