The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+153x^76+388x^77+870x^78+1208x^79+2158x^80+2436x^81+3488x^82+4072x^83+3887x^84+3792x^85+3434x^86+2368x^87+1770x^88+1164x^89+764x^90+332x^91+202x^92+84x^93+94x^94+16x^95+42x^96+8x^97+12x^98+4x^99+8x^100+10x^102+1x^104+2x^108

The gray image is a code over GF(2) with n=672, k=15 and d=304.
This code was found by Heurico 1.16 in 18.9 seconds.