  We calculate saturation curves for strange hadron matter using recently
constructed baryon-baryon potentials which are constrained by SU(3) symmetry.
All possible interaction channels within the baryon octet (consisting of $N$,
$\Lambda$, $\Sigma$, and $\Xi$) are considered. It is found that a small
$\Lambda$ fraction in nuclear matter slightly increases binding, but that
larger fractions ($>10%$) rapidly cause a decrease. Charge-neutral
${N,\Lambda,\Xi}$ systems, with equal densities for nucleons and cascades, are
only very weakly bound. The dependence of the binding energies on the
strangeness per baryon, $f_s$, is predicted for various ${N,\Lambda,\Xi}$ and
${N,\Lambda,\Sigma,\Xi}$ systems. The implications of our results in
relativistic heavy-ion collisions and the core of a dense star are discussed.
We also discuss the differences between our results and previous hadron matter
calculations.
