The generator matrix

 1  0  1  1  1  6  1  1  4  1 10  1  1 14  1  1  1  1  6  1  1  8  0  1  2  1  1  1  1  1  8  1  2  1  1  8  4  1  8 10  1  1  1 10  1  1  6  1  1  1  1  1  1  6 10  1  1  1  8  4  1  1  1  2  1 12  1  1  4  4  1  4  1 12 12  6  1  1  1  1  1  0  8
 0  1  1  0 11  1  6 13  1 10  1  7  5  1  4 15  2 11  1  0  5  1  1 10  1 13  2  8  5  4  1 15  1 11  0  1  1  5  1  1  4  6 10  1  0  5  1  1  2 11  3  2  9  1  1  5 12 10  1  1  8  7 13 10  4  8  7 15  1  1  6  1  9  1  8  1  9  6  9 15 11  0  2
 0  0  2  6  0  0  8  0  2  2  6 10  4  8 10  0 12 10  2 12 10  6 12  6  8 10  0 12  0  6  2  6  4 12  6 12  8  6 14  6  8  8 14  2 14 14 12  0  0 14 12  6 12  0 10  4  4  8  2 10 14  2  2  2  6  2  8  8  2  0  2 14  0  2  2  2 10  2 12  0 14  2  6
 0  0  0 12  0  0  0  0  4  4 12 12  8  0  4  0  8 12  4  8 12  4  0  4  8 12  8  8  8 12 12 12  0  0 12 12  4  8  8  0  4 12  0  8  0  8 12  4 12  4 12  0  4  4  8  4  4  4  0  8  4  8  0  0  8  0  0  8  4  0  8 12  4 12  0  0 12  8 12 12 12  8  4
 0  0  0  0 12  0  0 12  4  8  4  4  4  4 12  8  4  8  8 12  0  8 12  4  4  4 12  0  8 12  4  8  8 12 12  4  8 12  8  8  8  4  4 12  8  8  4  0 12  0 12  8  4 12  8  8  0  4  4 12  8  0 12  8  4 12  4 12  0  0  4 12  4 12 12  4 12 12  8  8  4  0  0
 0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  8  8  8  0  0  0  0  8  0  0  0  8  8  8  8  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  8  0  0  8  0  0  0  8  8  8  0  0  8  8  0  8  8  0  8  8  8  8  8  0  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 74.

Homogenous weight enumerator: w(x)=1x^0+283x^74+256x^75+1074x^76+1268x^77+2769x^78+3532x^79+5391x^80+6448x^81+8093x^82+7560x^83+7743x^84+6956x^85+5707x^86+3204x^87+2333x^88+1112x^89+904x^90+288x^91+309x^92+88x^93+120x^94+8x^95+54x^96+8x^98+21x^100+4x^102+1x^104+1x^108

The gray image is a code over GF(2) with n=664, k=16 and d=296.
This code was found by Heurico 1.16 in 70.6 seconds.