The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^52+186x^53+539x^54+1106x^55+1683x^56+2562x^57+3606x^58+4188x^59+4755x^60+4664x^61+3597x^62+2584x^63+1577x^64+782x^65+465x^66+244x^67+58x^68+52x^69+40x^70+6x^71+13x^72+8x^73+9x^74+3x^76+2x^77+2x^80

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 11.9 seconds.