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  2  1  2  1  2  2  1  1  2  1  1  2  1  2  1  2  1  4  1  1  2  1  1  2  4  4  1  2  4  1  4  1
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0 12  4  0  4  4  0  4 12  8  8 12  0 12  8  0 12  4  4  4  0  0  4  4 12  4  8 12  4 12 12  0  0  8  4  8 12  4  0
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12 12  0  0  4  8  8 12  4  4  0  0  0  8  4  4  0  4  0  8  8  0  8  8  0  8 12  4  4  8 12  4 12  4 12 12  8  0  0
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4 12  8  0  4 12  8  0  8  8 12  0 12  4  0  4  4  0 12 12  4  4 12 12  0  4 12  4  8  0  0 12  0  4  4  4  8 12  0
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  8  0  0  8  8  8  0  0  8  8  8  0  8  0  0  0  0  0  8  0  8  0  0  8  8  0  8  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  8  8  0  0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  8  8  0  0  8  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  0  8  8  0  0  0  8  0  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+32x^50+74x^51+104x^52+162x^53+236x^54+302x^55+551x^56+694x^57+1161x^58+1660x^59+1137x^60+762x^61+548x^62+204x^63+145x^64+122x^65+104x^66+58x^67+38x^68+44x^69+23x^70+6x^71+7x^72+8x^73+7x^74+1x^76+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 1.63 seconds.