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

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

Homogenous weight enumerator: w(x)=1x^0+180x^56+64x^57+428x^58+192x^59+477x^60+192x^61+232x^62+64x^63+114x^64+76x^66+26x^68+1x^76+1x^96

The gray image is a code over GF(2) with n=480, k=11 and d=224.
This code was found by Heurico 1.16 in 0.256 seconds.