The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^53+253x^54+420x^55+1009x^56+1158x^57+2008x^58+2028x^59+2631x^60+1814x^61+2204x^62+1168x^63+882x^64+372x^65+157x^66+86x^67+35x^68+28x^69+12x^70+8x^71+10x^72+2x^73+3x^74+2x^75+6x^76+3x^78+2x^80

The gray image is a code over GF(2) with n=480, k=14 and d=212.
This code was found by Heurico 1.16 in 3.44 seconds.