The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^53+209x^54+308x^55+418x^56+560x^57+873x^58+1170x^59+1184x^60+1080x^61+791x^62+538x^63+433x^64+252x^65+115x^66+76x^67+32x^68+14x^69+20x^70+16x^71+11x^72+4x^73+8x^74+2x^75+2x^79+1x^88

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 1.41 seconds.