The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+226x^76+672x^77+1776x^78+2660x^79+4231x^80+5268x^81+6456x^82+7536x^83+8224x^84+7628x^85+6556x^86+5484x^87+3782x^88+2196x^89+1400x^90+588x^91+445x^92+164x^93+94x^94+48x^95+31x^96+8x^97+36x^98+4x^99+17x^100+2x^102+3x^104

The gray image is a code over GF(2) with n=672, k=16 and d=304.
This code was found by Heurico 1.16 in 55.3 seconds.