The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+316x^61+480x^62+622x^63+544x^64+512x^65+466x^66+380x^67+321x^68+220x^69+88x^70+82x^71+12x^72+36x^73+4x^74+4x^75+1x^76+4x^77+1x^78+1x^80+1x^86

The gray image is a code over GF(2) with n=520, k=12 and d=244.
This code was found by Heurico 1.16 in 0.396 seconds.