The generator matrix

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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+296x^61+485x^62+922x^63+998x^64+1074x^65+910x^66+1066x^67+864x^68+816x^69+318x^70+222x^71+78x^72+54x^73+37x^74+14x^75+18x^76+12x^77+4x^81+1x^82+1x^86+1x^88

The gray image is a code over GF(2) with n=528, k=13 and d=244.
This code was found by Heurico 1.16 in 1.15 seconds.