The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+702x^83+2093x^84+3810x^85+5715x^86+8824x^87+9770x^88+13124x^89+14011x^90+15502x^91+13851x^92+13342x^93+10385x^94+8186x^95+4841x^96+3516x^97+1811x^98+796x^99+411x^100+232x^101+66x^102+38x^103+8x^104+22x^105+10x^106+1x^108+2x^113+2x^118

The gray image is a code over GF(2) with n=728, k=17 and d=332.
This code was found by Heurico 1.16 in 456 seconds.