The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^52+240x^53+435x^54+1004x^55+1577x^56+2694x^57+3534x^58+4432x^59+4757x^60+4828x^61+3530x^62+2502x^63+1439x^64+884x^65+403x^66+216x^67+88x^68+68x^69+28x^70+18x^71+11x^72+6x^73+4x^74+4x^75+2x^76+1x^78+2x^80+1x^82

The gray image is a code over GF(2) with n=480, k=15 and d=208.
This code was found by Heurico 1.16 in 11.8 seconds.