The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+128x^69+656x^70+1432x^71+2531x^72+4016x^73+5387x^74+6718x^75+7846x^76+7890x^77+8648x^78+6780x^79+5260x^80+3746x^81+2191x^82+1074x^83+545x^84+354x^85+152x^86+80x^87+36x^88+24x^89+21x^90+12x^91+5x^92+2x^97+1x^98

The gray image is a code over GF(2) with n=616, k=16 and d=276.
This code was found by Heurico 1.16 in 49.2 seconds.