Hi, mhps
I measured this a few days ago, over 21 hours, in two parts:
12am (midnight)
Number of blocks 509827
Estimated total blocks 400 (this figure seemed a blip, previously it read 611170)
7.30am
Number of blocks 510450
Estimated total blocks 612379
(623 extra blocks over 450 minutes = 1.38 blocks per minute)
9.10pm
Number of blocks 510966
Estimated total blocks 612971
(since 7.30am) (516 extra blocks over 820 minutes = 0.6 blocks per minute)
I did not monitor the number of connections too closely, but recall seeing 1 and 3 connections