The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+66x^51+262x^52+360x^53+639x^54+838x^55+1393x^56+2046x^57+3589x^58+4388x^59+5779x^60+4386x^61+3440x^62+2064x^63+1424x^64+790x^65+589x^66+294x^67+199x^68+94x^69+60x^70+26x^71+26x^72+4x^73+2x^74+4x^75+4x^76+1x^94

The gray image is a code over GF(2) with n=480, k=15 and d=204.
This code was found by Heurico 1.16 in 17.8 seconds.