The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+408x^55+990x^56+1684x^57+2254x^58+2140x^59+2344x^60+1836x^61+1754x^62+1228x^63+855x^64+448x^65+210x^66+148x^67+32x^68+28x^69+6x^70+12x^71+2x^72+4x^73

The gray image is a code over GF(2) with n=480, k=14 and d=220.
This code was found by Heurico 1.16 in 25.4 seconds.