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

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

Homogenous weight enumerator: w(x)=1x^0+55x^88+240x^89+515x^90+778x^91+1152x^92+1312x^93+2206x^94+2426x^95+2988x^96+3098x^97+3460x^98+3560x^99+2917x^100+2312x^101+1833x^102+1140x^103+966x^104+606x^105+464x^106+236x^107+218x^108+110x^109+80x^110+30x^111+18x^112+16x^113+15x^114+6x^115+3x^116+2x^117+2x^118+2x^120+1x^134

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 31.4 seconds.