The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+384x^56+384x^57+464x^58+640x^59+400x^60+640x^61+416x^62+384x^63+355x^64+16x^66+10x^72+2x^88

The gray image is a code over GF(2) with n=480, k=12 and d=224.
This code was found by Heurico 1.16 in 15.6 seconds.