The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+143x^52+68x^53+516x^54+348x^55+989x^56+1136x^57+1856x^58+2032x^59+2368x^60+2020x^61+1802x^62+1180x^63+921x^64+296x^65+358x^66+88x^67+136x^68+66x^70+41x^72+10x^74+8x^76+1x^84

The gray image is a code over GF(2) with n=480, k=14 and d=208.
This code was found by Heurico 1.16 in 5.56 seconds.