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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+387x^62+418x^63+598x^64+436x^65+659x^66+462x^67+386x^68+264x^69+277x^70+78x^71+68x^72+4x^73+33x^74+2x^75+16x^76+4x^78+1x^80+2x^84

The gray image is a code over GF(2) with n=528, k=12 and d=248.
This code was found by Heurico 1.16 in 0.52 seconds.