The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+540x^53+2010x^54+4362x^55+6876x^56+10736x^57+13301x^58+18206x^59+18137x^60+18844x^61+14495x^62+11082x^63+6140x^64+3368x^65+1757x^66+822x^67+235x^68+106x^69+19x^70+22x^71+3x^72+4x^73+2x^74+2x^77+2x^79

The gray image is a code over GF(2) with n=480, k=17 and d=212.
This code was found by Heurico 1.16 in 137 seconds.