The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^88+72x^89+416x^90+412x^91+952x^92+1360x^93+1731x^94+3040x^95+2589x^96+4296x^97+2978x^98+4392x^99+2614x^100+3048x^101+1627x^102+1312x^103+722x^104+432x^105+309x^106+60x^107+148x^108+8x^109+69x^110+25x^112+22x^114+12x^116+11x^118+2x^120+3x^122+2x^124+2x^126+1x^128

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 25 seconds.