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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+198x^77+263x^78+498x^79+682x^80+1058x^81+1236x^82+1602x^83+1754x^84+2116x^85+1771x^86+1708x^87+1061x^88+784x^89+535x^90+430x^91+236x^92+206x^93+81x^94+54x^95+28x^96+16x^97+17x^98+28x^99+13x^100+4x^101+2x^105+1x^110+1x^124

The gray image is a code over GF(2) with n=680, k=14 and d=308.
This code was found by Heurico 1.16 in 8.81 seconds.