  The possible existence of higher multi-quark flavor multiplets of baryons is
investigated. We argue that the S-matrix should have poles with any quantum
numbers, including those which are exotic. This argument provides a novel
justification for the existence of hadrons with arbitrary exotic structure.
Though it does not constitute a proof, there are still no theoretical arguments
against exotics. We then consider KN and piN scattering. Conventional and
modified partial-wave analyses provide several sets of candidates for
correlated pairs (Theta1, Delta), each of which could label a related 27-plet.
Properties of the pairs (masses, mass orderings, spin-parity quantum numbers)
do not quite correspond to the current theoretical expectations. Decay widths
of the candidates are either wider or narrower than expected. Possible reasons
for such disagreements are briefly discussed.
