The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+393x^70+1534x^71+2912x^72+4018x^73+5850x^74+7036x^75+7375x^76+7984x^77+7595x^78+6654x^79+5338x^80+4022x^81+2473x^82+1168x^83+629x^84+302x^85+152x^86+40x^87+45x^88+8x^89+1x^90+4x^92+2x^93

The gray image is a code over GF(2) with n=616, k=16 and d=280.
This code was found by Heurico 1.16 in 42.4 seconds.