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

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

Homogenous weight enumerator: w(x)=1x^0+124x^53+432x^54+650x^55+1059x^56+994x^57+2011x^58+1710x^59+2602x^60+1840x^61+2048x^62+858x^63+769x^64+466x^65+398x^66+196x^67+103x^68+64x^69+38x^70+8x^71+9x^72+2x^75+1x^76+1x^82

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 4.52 seconds.