The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+674x^61+882x^62+2012x^63+1607x^64+2494x^65+1694x^66+2486x^67+1328x^68+1402x^69+657x^70+688x^71+184x^72+172x^73+29x^74+30x^75+16x^76+24x^77+1x^78+2x^81+1x^82

The gray image is a code over GF(2) with n=528, k=14 and d=244.
This code was found by Heurico 1.16 in 228 seconds.