The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+584x^56+702x^57+1515x^58+1020x^59+1421x^60+702x^61+977x^62+326x^63+410x^64+196x^65+202x^66+46x^67+63x^68+16x^69+9x^70+1x^72+1x^74

The gray image is a code over GF(2) with n=480, k=13 and d=224.
This code was found by Heurico 1.16 in 1.13 seconds.