The generator matrix

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

generates a code of length 92 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+144x^86+866x^87+1414x^88+1650x^89+1974x^90+1902x^91+1858x^92+1630x^93+1272x^94+1222x^95+910x^96+482x^97+405x^98+302x^99+146x^100+86x^101+38x^102+44x^103+17x^104+8x^105+7x^106+6x^108

The gray image is a code over GF(2) with n=736, k=14 and d=344.
This code was found by Heurico 1.16 in 4.13 seconds.