The generator matrix

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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+162x^61+1210x^62+2368x^63+4264x^64+5470x^65+7501x^66+7730x^67+8724x^68+7908x^69+7064x^70+5272x^71+3989x^72+2000x^73+1138x^74+374x^75+202x^76+38x^77+70x^78+32x^79+12x^80+6x^81+1x^82

The gray image is a code over GF(2) with n=544, k=16 and d=244.
This code was found by Heurico 1.16 in 40.4 seconds.