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

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

Homogenous weight enumerator: w(x)=1x^0+122x^75+388x^76+634x^77+1106x^78+1428x^79+1795x^80+2680x^81+3086x^82+3264x^83+3785x^84+3820x^85+3111x^86+2372x^87+1739x^88+1200x^89+824x^90+524x^91+308x^92+232x^93+183x^94+76x^95+43x^96+22x^97+8x^98+6x^99+4x^100+2x^101+2x^102+2x^105+1x^116

The gray image is a code over GF(2) with n=672, k=15 and d=300.
This code was found by Heurico 1.16 in 25.9 seconds.