The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^53+99x^54+304x^55+249x^56+870x^57+619x^58+1458x^59+879x^60+1534x^61+662x^62+862x^63+208x^64+250x^65+81x^66+62x^67+5x^70+2x^71+5x^72+3x^74+1x^76+2x^78+1x^80+1x^82

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 0.954 seconds.