The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12  2  1  2  2  1  8  2  1  1  1  0  1  1  1  1  1  1  0  1  1  2  8  1  1  1  1  0  2  2  1  1  2  2  1  2  1  2  0  2  4  4  2  1  2  1  2  1  1  0  1
 0  2  0  2  0  8  6 14  0  0  2  6 10  8  0  6  4  4 14 10 10 14 12  4 14  8  0 14  4  2  2 12  0 12 14  8  4 14 10 12  2  2  8 10  2 10  0  6  0  4  8  2  4  6  6  2 10  4 10 10  2 14 10 14 14  6  2 10  4  4  6  4 12  2  2  2  0  4  6  6 12  0  2  2
 0  0  2  2  0  6 14  8  0  2 10  0  0  8  6  6 14 12 10  8 12  2  0 10  6 14 12  8 14  0  2 12 14  2 10 14  2 12  4  2 10  8  4  6  6 10  6 12  0 14  6  2  2 10 12  4  6  0  2  8  6 10  4 12 14  6 14  6  6 14  2  2 14  6 10 12 10 10  2  4  8  6 12  6
 0  0  0  4  0  0 12  0 12 12  8 12 12 12 12  0  4 12  8  4 12  4  8  8  4  8  4  0  4  8  0  8  8  4  4 12  4 12  0  0  0  0 12  4  0  0  4  4  4  4  8  0  8  0  0  8  8 12 12 12 12  8  0  8  8 12  8  0  0  8 12 12  0  0  4  8  4  8 12  8  8 12  0  0
 0  0  0  0 12  4  4  4 12  8  8  4  8  8  4  4  0  4  0 12  0 12  0  4  0  0 12  8  4 12 12  4  4  0  4  0 12 12  8  8  0  4  0 12  8  8  8  0  0 12  4  4  8 12  4  0  4 12  8  4  4  4  8  4  8  0  0  8  8  0  0  0  0  0 12  4  8  0  8  4  4 12 12  0

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

Homogenous weight enumerator: w(x)=1x^0+187x^76+268x^77+562x^78+640x^79+1065x^80+1320x^81+1728x^82+1564x^83+2024x^84+1828x^85+1440x^86+1240x^87+875x^88+524x^89+428x^90+176x^91+237x^92+80x^93+78x^94+24x^95+50x^96+12x^97+20x^98+4x^99+7x^100+1x^104+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 7.56 seconds.