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

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

Homogenous weight enumerator: w(x)=1x^0+52x^88+138x^89+221x^90+432x^91+391x^92+968x^93+719x^94+1444x^95+1043x^96+2170x^97+1394x^98+2206x^99+1052x^100+1448x^101+667x^102+896x^103+310x^104+332x^105+140x^106+116x^107+68x^108+44x^109+39x^110+12x^111+21x^112+14x^113+9x^114+14x^115+5x^116+4x^117+9x^118+1x^120+2x^121+1x^126+1x^134

The gray image is a code over GF(2) with n=784, k=14 and d=352.
This code was found by Heurico 1.16 in 11.1 seconds.