The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  1 12 12  1  2  8  1  1  1  1  1  2  1  1  1  1  4  1  1  1  1  4  1  0  0  4  8  1  2  4  2  1  1  2  1  0  2  2  1  1  4  0  1  2  1  8  2  1  0  4  1  1  1  2  2  2  2
 0  2  0  2  0  0  6  6  4 14  2  4 10  6 12 12  6  8  4  4  4  2  2  6 14 10  8  0 14  4 12  6 12  6  4 12  0 10 10  2  6 10  2  2 14  2  2  0 14 10  4  8 12  0  6 14  0  2  0 10  8  6 12  2  0  2  4 12  2  0  2  6  6  6 14  6  8 14  6  6  0  2  2  0  4 10  4 14  0  8  2 10 12  6 10  6  4  2
 0  0  2  2 12  6  6  0  4  4 14  2  4 10  6  8  0  8 12  2 14 12  2 14 10  0 10 12 12 14  4 10  0  2  6 10 12  0  6 12  0 10  0  6  4  2  2 14  8 14  0  2 10  8  0  0  8 12 12  2  2  6  2  0  2 14  2  2  8  6 12 14 14  6 10  2  2  6  4  4  6  0  2  8 14 10  2  0  2  2  4 14  4  8 14  6  2  2
 0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  0  8  0  0  8  8  8  8  0  8  8  0  0  8  8  0  8  8  0  0  0  8  0  8  8  0  8  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  0  8  0  8  0  0  8  0  8  8  8  0  0  0  8  8  0  0  0  8  0  8  8  8  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  8  8  8  0  0  8  0  8  8  0  8  0  0  8  8  8  8  0  0  8  0  0  8  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  8  8  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  8  0  0  0  8  0  0  8  8  0  8
 0  0  0  0  0  8  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  8  8  8  8  8  0  0  8  0  0  0  8  8  0  8  0  0  8  0  8  8  0  8  8  0  8  8  0  0  8  8  8  0  0  0  0  0  8  8  8  0  8  0  8  0  0  0  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0  8  8  0  0  8  0  8  8  8  0  8  0  0  8  8  8  8  0  0  8  0  8  0  0  8  0  0  8  0  8  0  0  8  0  8  8  8  0  8  8  8  0  0  8  0  0  8  8  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  8  8  8
 0  0  0  0  0  0  0  8  8  0  8  8  8  8  8  8  0  0  8  0  0  8  0  0  8  0  8  8  8  0  0  0  0  0  8  0  8  8  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0  8  8  0  8  0  8  0  0  0  8  0  8  0  8  8  8  0  0  0  8  8  8  0  0  8  0  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+202x^88+216x^89+566x^90+496x^91+1334x^92+1024x^93+2424x^94+1828x^95+3830x^96+2632x^97+4186x^98+2624x^99+3641x^100+1760x^101+2300x^102+984x^103+1056x^104+440x^105+516x^106+208x^107+216x^108+64x^109+98x^110+4x^111+66x^112+8x^113+20x^114+16x^116+2x^118+4x^120+1x^128+1x^132

The gray image is a code over GF(2) with n=784, k=15 and d=352.
This code was found by Heurico 1.16 in 36 seconds.