The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+140x^77+1083x^78+1456x^79+3162x^80+3530x^81+5793x^82+6146x^83+7922x^84+7494x^85+8161x^86+5966x^87+5858x^88+3278x^89+2443x^90+1318x^91+1101x^92+260x^93+226x^94+66x^95+62x^96+14x^97+16x^98+24x^99+5x^100+2x^101+6x^102+1x^104+2x^105

The gray image is a code over GF(2) with n=680, k=16 and d=308.
This code was found by Heurico 1.16 in 54.4 seconds.