The generator matrix

 1  0  0  1  1  1 10 14  2  8  1  1  1  1  4  1  1  1  0  1 14  1  8  1  2  1 12  0 14 14  1  1  1  1  1  4  1  1 12  2  1  1  8  1  1  4 12  1  1 14  1  1  6  6  1 12  1  1 14  2  1  1  1  1  6  1
 0  1  0  0  5  5  1 14  1  1  8  3 15 10  2  2  2  9  1  1  1 11  1 11  1  2  6 12  1  4  0 15  1 14  8  1 14 12  1  2 11  1  2  6  3  1  1  5  9  1 15  6  1  4  7  1  5 12  1  1  9  4  6  2 10  9
 0  0  1  3 11  8  7  1  2 13 10 15  6  9  1  7 12  1 14  6 13  8 15  5  8 10  1  1  4  1  9  5  4  0  6  9 14  8 15  1 12  2  1 15  2 14  0  4 15 15  0 12  7  1 10 11 10  5 14  5  5  3  3  8  1  1
 0  0  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  8  0  8  0  0  8  0  8  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  0  0  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+698x^62+824x^63+1396x^64+880x^65+1416x^66+720x^67+808x^68+352x^69+518x^70+248x^71+179x^72+48x^73+84x^74+15x^76+4x^78+1x^84

The gray image is a code over GF(2) with n=528, k=13 and d=248.
This code was found by Heurico 1.16 in 11.2 seconds.