The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+151x^76+384x^77+924x^78+1292x^79+2078x^80+2580x^81+3480x^82+3520x^83+4364x^84+3560x^85+3472x^86+2432x^87+1918x^88+1080x^89+654x^90+320x^91+219x^92+120x^93+82x^94+52x^95+20x^96+20x^97+10x^98+13x^100+18x^102+3x^104+1x^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 18.5 seconds.