  We report the electronic structure, synthesis, and measurements of the
magnetic, transport, and thermal properties of the polycrystalline
noncentrosymmetric compound Re$_{6}$Zr. We observed a bulk superconducting
transition at temperature $T_{c}$ $\sim$ 6.7 K, and measured the resistivity,
heat capacity, thermal conductivity, and the London penetration depth below the
transition, as well as performed doping and pressure studies. From these
measurements we extracted the critical field, and the superconducting
parameters of Re$_{6}$Zr. Our measurements indicate a relatively weak to
moderate contribution from a triplet component to the order parameter, and
favor a full superconducting gap, although we cannot exclude the existence of
point nodes based on our data.
