The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+186x^62+1124x^63+2575x^64+4480x^65+5346x^66+6928x^67+8304x^68+8500x^69+7760x^70+6944x^71+5523x^72+3936x^73+1940x^74+1120x^75+539x^76+188x^77+62x^78+40x^79+17x^80+16x^81+2x^82+1x^84+4x^87

The gray image is a code over GF(2) with n=552, k=16 and d=248.
This code was found by Heurico 1.16 in 36.9 seconds.