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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+40x^84+4x^85+201x^86+108x^87+583x^88+448x^89+1176x^90+1692x^91+2627x^92+3712x^93+4971x^94+6696x^95+6726x^96+7392x^97+7168x^98+7048x^99+4983x^100+3268x^101+2310x^102+1772x^103+1130x^104+512x^105+403x^106+92x^107+209x^108+24x^109+115x^110+75x^112+27x^114+5x^116+11x^118+5x^120+1x^122+1x^130

The gray image is a code over GF(2) with n=776, k=16 and d=336.
This code was found by Heurico 1.16 in 89.6 seconds.