The generator matrix

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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+42x^89+236x^90+542x^91+927x^92+1424x^93+2151x^94+2732x^95+3310x^96+3630x^97+3601x^98+3512x^99+2955x^100+2474x^101+1997x^102+1370x^103+739x^104+464x^105+261x^106+96x^107+151x^108+58x^109+26x^110+28x^111+4x^112+2x^113+9x^114+6x^115+6x^116+5x^118+2x^119+2x^120+2x^121+1x^122+1x^124+1x^126

The gray image is a code over GF(2) with n=784, k=15 and d=356.
This code was found by Heurico 1.16 in 22.4 seconds.