A survey of the Galactic plane in the region -60 \degree \leq l \leq 30 \degree , |b| \leq 0.25 \degree was carried out using the seven-beam Parkes Methanol Multibeam ( MMB ) receiver , which operates at a frequency of 6.5 GHz . Three pulsars were discovered , and 16 previously known pulsars detected . In this paper we present two previously-unpublished discoveries , both with extremely high dispersion measures , one of which is very close , in angular distance , to the Galactic centre . The survey data also contain the first known detection , at radio frequencies , of the radio magnetar PSR J1550 - 5418 . Our survey observation was made 46 days prior to that previously published and places constraints on the beginning of pulsed radio emission from the source . The detection of only three previously undiscovered pulsars argues that there are few pulsars in the direction of the inner Galaxy whose flux density spectrum is governed by a flat power law . However , these pulsars would be likely to remain undetected at lower frequencies due to the large amount of scatter broadening which affects pulsars with high values of dispersion measure . Surveys with future telescopes at high observing frequencies will , therefore , play an important role in the discovery of pulsars at the Galactic centre . By simulating pulsar surveys of the Galaxy with Phase 1 SKA at frequencies of 1.4 GHz and 10 GHz , we find that high-frequency observations are the only way to discover and observe the Galactic-centre pulsar population .