The generator matrix

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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+112x^91+524x^92+768x^93+1356x^94+1320x^95+1903x^96+1708x^97+1754x^98+1508x^99+1625x^100+1220x^101+1216x^102+484x^103+347x^104+160x^105+138x^106+44x^107+37x^108+68x^109+32x^110+20x^111+24x^112+12x^113+2x^124+1x^128

The gray image is a code over GF(2) with n=784, k=14 and d=364.
This code was found by Heurico 1.16 in 5.52 seconds.