The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+34x^75+210x^76+494x^77+936x^78+1562x^79+2349x^80+3852x^81+5110x^82+6704x^83+7722x^84+7754x^85+8134x^86+6718x^87+5002x^88+3500x^89+2156x^90+1426x^91+721x^92+490x^93+285x^94+170x^95+68x^96+32x^97+45x^98+20x^99+22x^100+6x^101+5x^102+6x^103+1x^106+1x^108

The gray image is a code over GF(2) with n=680, k=16 and d=300.
This code was found by Heurico 1.16 in 70.5 seconds.