The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+35x^74+56x^75+196x^76+172x^77+633x^78+562x^79+1828x^80+1494x^81+4797x^82+3464x^83+8747x^84+5608x^85+10687x^86+5512x^87+8719x^88+3432x^89+4730x^90+1448x^91+1774x^92+468x^93+527x^94+178x^95+197x^96+78x^97+73x^98+40x^99+24x^100+8x^101+13x^102+4x^103+11x^104+4x^105+5x^106+2x^108+4x^110+4x^112+1x^116

The gray image is a code over GF(2) with n=688, k=16 and d=296.
This code was found by Heurico 1.16 in 76.5 seconds.