The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^75+511x^76+816x^77+1728x^78+2426x^79+4149x^80+5010x^81+6662x^82+7444x^83+8284x^84+7136x^85+6928x^86+4926x^87+3901x^88+2362x^89+1452x^90+672x^91+435x^92+200x^93+165x^94+68x^95+56x^96+26x^97+21x^98+6x^99+6x^100+3x^102+4x^103+1x^104+2x^105+1x^106

The gray image is a code over GF(2) with n=672, k=16 and d=300.
This code was found by Heurico 1.16 in 67 seconds.