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  8  1  2  1  8  8  2  8  1 12  2  1  2  0  1  2  0 12  8  1  0 12  1  1  4  1 12  2  2 12  1  2
 0  2  0  0  0  2  6 14  4 12  6 12 10 12 14 10  0  4 12  0 10 10 10 10 14 10  8  2  2  8  6  2  0  2 10  2  8  2  0  0  6 12  6  8  8  8  2 12  0  4  2  4  8 12  2  6 14  2  2  2
 0  0  2  0  2  2  2  0  8 10  4  0 14  2  2  8 14  8  6  0 12  4  6  2 14  4 10  0  8 12  2 14  2  4  6  4  0  8 12 14  4  4  2 10  2  8  6 14  2  2  8  0  2 12 10 14  2  4  0 14
 0  0  0  2  2  0  2  2  2 10 12  8 12  4 14  2  4 14 14 12 10  4  8  2 12  0  6  2  4  8  4  6 12 14 14  8  6  6  6  0 10  2 12  4  0  2  8  4 14  6 12  0 14 10  0  6 10 12 12  2
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  8  8  8  0  0  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  0  0  0  0  8  0  0  0  8  8  8
 0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  0  0  0  0  8  0  8  8  8  8  8  0  8  0  0  0  8  8  0  0  8  8  8  0  8  8  0

generates a code of length 60 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+156x^51+456x^52+992x^53+1405x^54+2488x^55+3479x^56+4930x^57+6229x^58+8032x^59+8417x^60+8594x^61+6803x^62+5384x^63+3111x^64+2170x^65+1337x^66+776x^67+383x^68+206x^69+84x^70+56x^71+20x^72+4x^73+13x^74+4x^75+4x^76+1x^80+1x^90

The gray image is a code over GF(2) with n=480, k=16 and d=204.
This code was found by Heurico 1.16 in 63.8 seconds.