The generator matrix

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

generates a code of length 94 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+222x^86+1104x^87+1742x^88+3186x^89+4168x^90+5690x^91+5865x^92+7922x^93+6956x^94+7302x^95+6066x^96+5480x^97+3680x^98+2626x^99+1398x^100+1064x^101+459x^102+322x^103+106x^104+70x^105+31x^106+44x^107+21x^108+6x^109+3x^110+1x^112+1x^114

The gray image is a code over GF(2) with n=752, k=16 and d=344.
This code was found by Heurico 1.16 in 61.6 seconds.