The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2 12  8  4  1  2  2  8  2  2  0  2  2  1  1  1  2  0  4  2  2  1  8  2  1  1  1  8  1  1  1  1  1  2  1  1  2  1  1
 0  2  0  0  0  2 14  2  4  4  6  4  2  6 12  6  4 12  0  6 10  2  8  0  2 10 12 12  8 14 12  2  2  2  2 12  6  4  6  8 14  4 12  4  2  2 10  0  4  4  2 10  6 10  8  0 12  2  8  4  4  0  0 10  2  6  0  6 12  4  8
 0  0  2  0  2  2  2  8 10  4  0  0  8 14  2  6 14  8  2  2 12  4  0  0  6 14 10 10  8  8  4 10 14  4 14  2 14  2  4  0  4 14  2  2 10 10  0  6 10  2 14  4  8 14  2 12  8  2  4  4 10  8 10  0  0  4  6 12 14 12  8
 0  0  0  2  2  0 10  2  8 12  4 10 14 12  2 10  0  6  6 12  2 12  4 14  8 14 14 12  0 10  6 14  0 14  0  8  8 12 12  2  0 14 10  4 10  6  0  0  2  2 10  2  6  6 12 14  6  6  2  2  8 14 12  4  4  4  8 10  4 12  0
 0  0  0  0  4  0  4  0  0 12  4  4 12  4  8  8 12  4  4 12  8  8  0  0  4  0  0 12  4 12  4  8  4  4 12  8  0 12  4  4 12  4  0  4  4 12 12 12  8  4  0  0 12 12  8  0  8  4  4  8  8  8  0  8  8  0  4  0  0 12  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  8  8  0  0  8  0  0  0  0  0  8  8  0  0  0  0  0  8  8  8  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  8  8  8  0  8  0  0  8  0  8

generates a code of length 71 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+80x^61+330x^62+650x^63+976x^64+1544x^65+2572x^66+3428x^67+4781x^68+6502x^69+7650x^70+8290x^71+7845x^72+6852x^73+5015x^74+3284x^75+2253x^76+1380x^77+913x^78+476x^79+325x^80+204x^81+89x^82+54x^83+8x^84+14x^85+7x^86+8x^87+2x^91+2x^92+1x^96

The gray image is a code over GF(2) with n=568, k=16 and d=244.
This code was found by Heurico 1.16 in 79.3 seconds.