The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^76+452x^77+819x^78+1320x^79+2173x^80+2706x^81+3302x^82+3578x^83+3994x^84+3828x^85+3392x^86+2624x^87+1959x^88+1094x^89+589x^90+314x^91+179x^92+148x^93+86x^94+36x^95+26x^96+28x^97+16x^98+2x^102+1x^104+1x^106+1x^110

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 17.7 seconds.