The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+144x^53+556x^54+1028x^55+1812x^56+2334x^57+4022x^58+3992x^59+5264x^60+4054x^61+4009x^62+2158x^63+1625x^64+828x^65+499x^66+208x^67+89x^68+70x^69+32x^70+20x^71+8x^72+10x^73+1x^74+1x^76+1x^78+2x^79

The gray image is a code over GF(2) with n=480, k=15 and d=212.
This code was found by Heurico 1.16 in 11.5 seconds.