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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+166x^55+255x^56+378x^57+460x^58+508x^59+666x^60+562x^61+437x^62+250x^63+161x^64+102x^65+46x^66+48x^67+20x^68+30x^69+1x^70+4x^71+1x^96

The gray image is a code over GF(2) with n=480, k=12 and d=220.
This code was found by Heurico 1.16 in 0.479 seconds.