The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+276x^71+724x^72+1114x^73+1598x^74+1788x^75+1944x^76+1836x^77+1983x^78+1684x^79+1534x^80+866x^81+481x^82+190x^83+128x^84+96x^85+48x^86+52x^87+4x^88+24x^89+10x^91+1x^96+1x^102+1x^106

The gray image is a code over GF(2) with n=616, k=14 and d=284.
This code was found by Heurico 1.16 in 4.11 seconds.