The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+173x^86+414x^87+862x^88+1164x^89+1386x^90+1764x^91+1819x^92+1862x^93+1714x^94+1508x^95+1269x^96+950x^97+630x^98+366x^99+207x^100+72x^101+70x^102+38x^103+31x^104+42x^105+8x^106+2x^107+2x^108+6x^109+15x^110+4x^111+1x^112+3x^114+1x^122

The gray image is a code over GF(2) with n=744, k=14 and d=344.
This code was found by Heurico 1.16 in 6.06 seconds.