Cumbrianski, I'm a bit confused about your definition of 'lowest point of glacier'? Do you mean the lowest highest/starting point? As for example the one I looked at a few weeks ago(attached) off Mont Blanc I'm sure extends to much lower than 2140m.. (Bossons Glacier I think).
Anyway, onto perennial patches/glaciarets, many years ago (80s) I visited the Durmitor mountains in late summer and they had ice caves and many large patches at quite modest altitudes.
Edit: Aaah, here we are, glacier at 2455m altitude south of the Alps in the Durmitor: [en.wikipedia.org
] probably been discussed on threads here in the past no doubt.
An interesting article on balkan snow patches/glaciarets:
Edited 2 times. Last edit at 01.24hrs Sat 3 Sep 16 by MartinT.