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We report on new precision mass measurements of neutron-rich $^{137}$Sb and$^{136-142}$I isotopes from the JYFLTRAP double Penning trap mass spectrometer.We confirm the value from the previous Penning-trap measurement of $^{137}$Sbat the Canadian Penning Trap and therefore rule out the conflicting result fromthe Experimental Storage Ring. The ground state and isomer in $^{136}$I wereresolved and measured directly for the first time. The isomer excitationenergy, $E_x = 215.1(43)$ keV, agrees with the literature but is three timesmore precise. The measurements have improved the precision of the mass valuesand confirmed previous results in the majority of cases. However, for$^{138,140}$I the results differ by 17(6) keV and 23(12) keV, respectively.This could be explained by an unresolved contamination or different ratio ofunresolved isomeric states in the case of $^{140}$I.

Mass measurements in the $^{132}$Sn region with the JYFLTRAP double Penning trap mass spectrometer