The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  0  1  1 14  1  1  1  4  1  1  2 10  1  1  1  1  1  0  6  1 14  1  1  1  1 14  4  1  1  2  1  1  1  1  0  1  1  1  1  2  1  8  1  1  4  1  1
 0  1 11  6  1  1  0 11  1  6  1 13  0  1  3  5  1  4 15  6  1 13  2  1  1  4  3 14  5  6  1  1  5  1  0  3  1  7  1  1  1  2  1  1 14  7 10  2  1 14 14  6  1 14  1  9  3  4  3  0
 0  0 12  0  0  0  0  0  0  8  8  4  4  4  8 12  4  4  4 12  4  8  0  8  4  8  4  4 12 12  4 12  0 12  8  0 12  8  8  8  0  4  0  0 12 12  8  4  4  8  8  8  4  0  4 12  8  0  4  4
 0  0  0 12  0  0 12  8  4  8 12  0  0  0 12 12 12  4  4  0 12  8 12 12  0 12  8  0  0 12 12  4  8  8 12  8  4  8  8  4  4  8  0 12  4  4  0  0  4  8  0  8 12  8  0  8  8  8  4  4
 0  0  0  0  4  0  0 12  8  0  8  0  4 12  4  8 12  4  0  4 12 12  0  8 12  8  4  8 12  0  0  8  0  8  4  8 12  4  4  8  8  8 12 12  4 12 12  0 12  4  4  8  4  8  8  4  8 12  8  0
 0  0  0  0  0  8  0  0  8  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0  0  8  8  0  0  8  0  0  0  8  8  8  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0  0  0
 0  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  8  0  8  0  0  0  8  8  8  0  8  0  8  0  0  8  0  0  0  0  8  8  8  0  8  8  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  0  0  0

generates a code of length 60 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+56x^50+118x^51+215x^52+450x^53+845x^54+1782x^55+2982x^56+4848x^57+7288x^58+9126x^59+10024x^60+9396x^61+7353x^62+4800x^63+2922x^64+1668x^65+760x^66+378x^67+202x^68+130x^69+70x^70+50x^71+35x^72+20x^73+11x^74+2x^75+3x^76+1x^82

The gray image is a code over GF(2) with n=480, k=16 and d=200.
This code was found by Heurico 1.16 in 47.8 seconds.