The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+252x^53+842x^54+2222x^55+3493x^56+5200x^57+7005x^58+8912x^59+9428x^60+9538x^61+7188x^62+5284x^63+3057x^64+1606x^65+767x^66+392x^67+180x^68+106x^69+17x^70+22x^71+17x^72+2x^73+4x^74+1x^78

The gray image is a code over GF(2) with n=480, k=16 and d=212.
This code was found by Heurico 1.16 in 35.5 seconds.