The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^86+454x^87+1020x^88+1378x^89+2049x^90+2824x^91+3462x^92+3366x^93+3848x^94+3534x^95+3361x^96+2532x^97+1819x^98+1184x^99+727x^100+392x^101+235x^102+132x^103+120x^104+50x^105+73x^106+12x^107+12x^108+10x^109+4x^110+4x^111+1x^114+1x^124+1x^126

The gray image is a code over GF(2) with n=752, k=15 and d=344.
This code was found by Heurico 1.16 in 20.5 seconds.