The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^75+493x^76+960x^77+1548x^78+2724x^79+3571x^80+5570x^81+6168x^82+7878x^83+7695x^84+7980x^85+6490x^86+5398x^87+3284x^88+2476x^89+1294x^90+816x^91+519x^92+268x^93+98x^94+58x^95+50x^96+34x^97+15x^98+10x^99+2x^100+8x^101+2x^102+1x^106+1x^108

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 66.9 seconds.