We report a new measurement of the decay Ω-→Ξ-π+π- with 76 events and a first observation of the decay Ω̄+→Ξ̄+π+π- with 24 events, yielding a combined branching ratio (3.74-0.56+0.67)×10-4. This represents a factor 25 increase in statistics over the best previous measurement. No evidence is seen for CP violation, with B( Ω-→Ξ-π+π-)=4.04-0.71+0.83×10-4 and B(Ω̄+→Ξ̄+π+π-)=3.15-0.89+1.12×10-4. Contrary to theoretical expectation, we see little evidence for the decays Ω-→Ξ1530*0π- and Ω̄+→Ξ̄1530*0π+ and place a 90% C.L. upper limit on the combined branching ratio B(Ω-(Ω̄+)→Ξ1530*0(Ω̄1530*0)π∓)<7.0×10-5. © 2010 Elsevier B.V.