  We find new homogeneous r matrices containing supercharges, and use them to
find new backgrounds of Yang-Baxter deformed superstrings. We obtain these as
limits of unimodular inhomogeneous r matrices and associated deformations of
AdS2 x S2 x T6 and AdS5 x S5. Our r matrices are jordanian, but also
unimodular, and lead to solutions of the regular supergravity equations of
motion. In general our deformations are equivalent to particular non-abelian T
duality transformations. Curiously, one of our backgrounds is also equivalent
to one produced by TsT transformations and an S duality transformation.
