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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+66x^52+234x^53+296x^54+648x^55+691x^56+1338x^57+1633x^58+2196x^59+2341x^60+2184x^61+1677x^62+1268x^63+626x^64+508x^65+207x^66+224x^67+105x^68+86x^69+20x^70+12x^71+6x^72+2x^73+4x^74+4x^75+4x^76+2x^78+1x^86

The gray image is a code over GF(2) with n=480, k=14 and d=208.
This code was found by Heurico 1.16 in 4.73 seconds.