The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+192x^77+701x^78+1698x^79+2220x^80+2874x^81+3300x^82+3812x^83+3826x^84+3944x^85+3005x^86+2566x^87+1980x^88+1254x^89+568x^90+410x^91+206x^92+84x^93+31x^94+50x^95+19x^96+4x^97+8x^98+6x^99+4x^100+1x^102+2x^103+2x^110

The gray image is a code over GF(2) with n=672, k=15 and d=308.
This code was found by Heurico 1.16 in 14.4 seconds.