The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^52+70x^53+236x^54+430x^55+766x^56+1244x^57+2195x^58+2120x^59+2271x^60+2128x^61+2198x^62+1214x^63+728x^64+366x^65+203x^66+70x^67+30x^68+24x^69+21x^70+4x^71+5x^72+6x^73+6x^74+2x^75+2x^77+5x^78+1x^84

The gray image is a code over GF(2) with n=480, k=14 and d=208.
This code was found by Heurico 1.16 in 3.31 seconds.