Distant globular clusters with anomalously small masses. ... We found that 10 metal-poor globular clusters are greately distinguished for anomalously small masses on the "destruction rate-mass" plain. ... Note that 10 distant clusters of anomalously small mass selected by us proved to be younger and with an average metallicity <[Fe/H]> = -1.36 ? ... It looks as if only far from the centre of the Galaxy, conditions are created that lead to formation of globular clusters with anomalously small masses. ...