The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+146x^56+40x^57+396x^58+156x^59+1433x^60+884x^61+3462x^62+2444x^63+5911x^64+3252x^65+5788x^66+2324x^67+3617x^68+924x^69+1118x^70+196x^71+456x^72+20x^73+94x^74+57x^76+20x^78+22x^80+2x^82+5x^84

The gray image is a code over GF(2) with n=520, k=15 and d=224.
This code was found by Heurico 1.16 in 14.3 seconds.