We present radial-velocity measurements obtained in one of a number of programs underway to search for extrasolar planets with the spectrograph SOPHIE at the 1.93-m telescope of the Haute-Provence Observatory . Targets were selected from catalogs observed with ELODIE , which had been mounted previously at the telescope , in order to detect long-period planets with an extended database close to 15 years . Two new Jupiter-analog candidates are reported to orbit the bright stars HD150706 and HD222155 in 16.1Â yr and 10.9Â yr at 6.7 ^ { +4.0 } _ { -1.4 } Â AU and 5.1 ^ { +0.6 } _ { -0.7 } Â AU and to have minimum masses of 2.71 ^ { +1.14 } _ { -0.66 } Â M _ { \mathrm { J } up } and 1.90 ^ { +0.67 } _ { -0.53 } Â M _ { \mathrm { J } up } , respectively . Using the measurements from ELODIE and SOPHIE , we refine the parameters of the long-period planets HD154345b and HD89307b , and publish the first reliable orbit for HD24040b . This last companion has a minimum mass of 4.01 \pm 0.49Â M _ { \mathrm { J } up } orbiting its star in 10.0Â yr at 4.92 \pm 0.38Â AU . Moreover , the data provide evidence of a third bound object in the HD24040 system . With a surrounding dust debris disk , HD150706 is an active G0 dwarf for which we partially corrected the effect of the stellar spot on the SOPHIE radial-velocities . In contrast , HD222155 is an inactive G2V star . In the SOPHIE measurements , an instrumental effect could be characterized and partly corrected . On the basis of the previous findings of Lovis and collaborators and since no significant correlation between the radial-velocity variations and the activity index are found in the SOPHIE data , these variations are not expected to be only due to stellar magnetic cycles . Finally , we discuss the main properties of this new population of long-period Jupiter-mass planets , which for the moment , consists of fewer than 20 candidates . These stars are preferential targets either for direct-imaging or astrometry follow-up surveys to constrain the system parameters and for higher-precision radial-velocity searches for lower mass planets , aiming to find a solar system twin . In the Appendix , we determine the relation that defines the radial-velocity offset between the ELODIE and SOPHIE spectrographs .