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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+179x^90+368x^91+621x^92+848x^93+1071x^94+1248x^95+1536x^96+1658x^97+1879x^98+1658x^99+1515x^100+1056x^101+785x^102+602x^103+466x^104+258x^105+243x^106+128x^107+97x^108+64x^109+34x^110+18x^111+19x^112+16x^113+1x^114+10x^115+4x^117+1x^140

The gray image is a code over GF(2) with n=784, k=14 and d=360.
This code was found by Heurico 1.16 in 8.78 seconds.