The generator matrix

 1  0  1  1  1  4  1  1  6  4  1  1 10  1  1 10  1  1  1  1  2  8  1  1  1  1  2 12  1  8  1  1  1  1  6 14  2  2  1  1  1  2  1  1  1  0  1  8  1  1  1  1 14  1  1  4  2 12  4  1
 0  1  1  4  3  1  2  7  1  1  6 13  1 11 12  1 10  1  2  3  1  1  8  9  5  8  1  1 11  1 14  5 12  0  1  1 12  1  9 15  9  4  8 10 12  1 11  1  9  5  0 11  1  9  7  2  4  1  2  0
 0  0  2  2  0  2  2 10  0 12  8  4  6  4 14  0  6 12  4  6 10  2  4  6  0 10  4 14  2  4  2  6  8  8  6  4  6  2  0  0  8 14 10  8  2 10  2  6 12  6  8  2  8  6  8  2 14  8 10  0
 0  0  0  8  0  0  0  8  0  8  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  8  8  8  0  0  0  0  0  8  8  8  8  0  8  0  8  8  0  8  0  0  8  8  8  0  0  0  0  8  8  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  8  8  8  8  8  0  8  8  0  0  0  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  8  0  8  8  8  0  0  8  8  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  8  0  8  0  8  8  0  8  0  8  8  8  8  0  0  0  8  0  8  0  0  8  8  0  8  8  8  0  8  0
 0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  8  8  8  8  0  0  8  0  8  0  0  8  0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  8  0  0  8  8  0  0  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+65x^52+250x^53+548x^54+948x^55+1665x^56+2748x^57+3369x^58+4578x^59+4745x^60+4572x^61+3270x^62+2574x^63+1577x^64+880x^65+438x^66+274x^67+123x^68+58x^69+44x^70+6x^71+13x^72+4x^73+9x^74+4x^75+3x^76+2x^78

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.