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

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

Homogenous weight enumerator: w(x)=1x^0+148x^75+503x^76+908x^77+1445x^78+1838x^79+2836x^80+3318x^81+5085x^82+6378x^83+6948x^84+6928x^85+7426x^86+5970x^87+4958x^88+3538x^89+2722x^90+1602x^91+1125x^92+738x^93+498x^94+228x^95+197x^96+112x^97+33x^98+24x^99+8x^100+10x^101+6x^102+4x^103+1x^110

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 95.8 seconds.