The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+89x^70+398x^71+917x^72+1658x^73+2479x^74+3550x^75+5385x^76+6004x^77+8580x^78+7974x^79+8098x^80+6380x^81+5381x^82+3370x^83+2209x^84+1336x^85+800x^86+346x^87+268x^88+164x^89+75x^90+36x^91+18x^92+8x^93+2x^94+6x^95+2x^97+1x^98+1x^102

The gray image is a code over GF(2) with n=632, k=16 and d=280.
This code was found by Heurico 1.16 in 61.9 seconds.