The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^76+140x^77+357x^78+726x^79+1041x^80+1444x^81+1672x^82+1828x^83+2050x^84+1814x^85+1656x^86+1406x^87+1007x^88+680x^89+280x^90+100x^91+30x^92+10x^93+25x^94+24x^95+13x^96+8x^97+4x^98+12x^99+8x^100+4x^102+2x^104+2x^110+1x^116

The gray image is a code over GF(2) with n=672, k=14 and d=304.
This code was found by Heurico 1.16 in 5.16 seconds.