The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+814x^54+2236x^55+4190x^56+5642x^57+6647x^58+8818x^59+8764x^60+8864x^61+7464x^62+5696x^63+3306x^64+1682x^65+899x^66+282x^67+138x^68+36x^69+28x^70+24x^71+1x^72+4x^74

The gray image is a code over GF(2) with n=480, k=16 and d=216.
This code was found by Heurico 1.16 in 42.6 seconds.