The generator matrix

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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+142x^88+268x^89+828x^90+980x^91+2322x^92+2268x^93+4574x^94+4512x^95+6810x^96+6424x^97+7858x^98+6116x^99+6883x^100+4572x^101+4256x^102+2460x^103+2038x^104+736x^105+678x^106+248x^107+286x^108+56x^109+84x^110+20x^111+49x^112+12x^113+20x^114+21x^116+6x^118+8x^120

The gray image is a code over GF(2) with n=784, k=16 and d=352.
This code was found by Heurico 1.16 in 85.5 seconds.