The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+352x^61+444x^62+910x^63+827x^64+1236x^65+826x^66+1224x^67+823x^68+790x^69+349x^70+246x^71+34x^72+52x^73+11x^74+32x^75+10x^76+18x^77+4x^79+1x^82+1x^86+1x^92

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 13.8 seconds.