The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+278x^55+304x^56+1074x^57+722x^58+1416x^59+859x^60+1372x^61+622x^62+922x^63+238x^64+222x^65+49x^66+52x^67+4x^68+16x^69+14x^70+20x^71+1x^72+4x^73+1x^82+1x^84

The gray image is a code over GF(2) with n=480, k=13 and d=220.
This code was found by Heurico 1.16 in 1.27 seconds.