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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+52x^75+164x^76+230x^77+282x^78+462x^79+636x^80+772x^81+1009x^82+1128x^83+994x^84+766x^85+576x^86+442x^87+244x^88+126x^89+131x^90+72x^91+26x^92+22x^93+12x^94+12x^95+11x^96+2x^97+4x^98+8x^99+4x^100+2x^101+1x^102+1x^126

The gray image is a code over GF(2) with n=664, k=13 and d=300.
This code was found by Heurico 1.16 in 2.51 seconds.