The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^77+373x^78+964x^79+1263x^80+1948x^81+2712x^82+3376x^83+3677x^84+4058x^85+3793x^86+3510x^87+2409x^88+1856x^89+1142x^90+682x^91+330x^92+198x^93+119x^94+84x^95+21x^96+24x^97+17x^98+18x^99+8x^100+4x^101+2x^102+6x^103+2x^104+1x^106+1x^108+1x^110

The gray image is a code over GF(2) with n=680, k=15 and d=308.
This code was found by Heurico 1.16 in 20.9 seconds.