The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  1  1  1  2  8  1  1  0  1  1 12  2  1  2  1  1 12 12 12  1  1  2  1  1 12  2  1  1  2  1  8  2  1  2  1
 0  2  0  6  4  6 12  2  8  0  6  6  4  4  2 10 14  2  0 12 14  2  6  8  4  6  6  2  2  2 12  4  2 10  0  2  6  4  6 14  0  2  2  2 12 14  0 10 12  2  6 12  6  2 14  2 12  6  2  8
 0  0 12  0  4  0  0  0  8  4  4 12  8 12  4 12  0  8  0  8  8 12 12 12 12  0  0  4  0  0 12 12  8  4  8 12 12  4  8  4  0  4  8  0 12  0  8  4  0 12  8  0  8 12 12  4 12  0  8  0
 0  0  0 12  0  0  8 12 12 12  4  0  4 12  8 12 12 12  8  0 12  8  4  0  0  0  8  0 12 12 12  4  0 12  4 12 12  8  8  4  4  4  4  0  4  4  4  8  4  0  8 12  4  0 12  4  4 12  4 12
 0  0  0  0  8  0  8  8  0  0  0  8  8  8  8  0  8  0  8  0  0  0  8  0  8  8  8  0  8  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  0  8  8  8  8  0  8  0  8  8  0  8  8  8  8  0  8  0  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+86x^53+186x^54+250x^55+386x^56+656x^57+1015x^58+1090x^59+975x^60+1096x^61+998x^62+610x^63+362x^64+182x^65+109x^66+76x^67+32x^68+22x^69+15x^70+16x^71+3x^72+6x^73+12x^74+6x^75+1x^78+1x^84

The gray image is a code over GF(2) with n=480, k=13 and d=212.
This code was found by Heurico 1.16 in 1.45 seconds.