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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+92x^75+187x^76+242x^77+455x^78+780x^79+699x^80+1570x^81+1072x^82+2486x^83+1412x^84+2488x^85+1059x^86+1580x^87+683x^88+626x^89+355x^90+224x^91+105x^92+72x^93+47x^94+38x^95+36x^96+20x^97+16x^98+12x^99+12x^100+6x^101+3x^102+2x^103+1x^104+2x^107+1x^122

The gray image is a code over GF(2) with n=672, k=14 and d=300.
This code was found by Heurico 1.16 in 74.4 seconds.