Groups in the Range until 100,000

Size	Number of repeating groups clusters	Total number of groups in all clusters of the size	Ratio of repeating groups # to primes #, %
2	257	9,492	99
3	1,119	8,538	89
4	1,617	5,547	58
5	878	2,116	22
6	278	591	6
7	88	182	2
8	31	62	0.6
9	13	26	0.3
10	5	10	0.1
11	2	4	0.04
12	1	2	0.02

The density of the repeating groups of the size of 2 is almost 100%
and the most diversity of them is for the size of 4

Size	Number of foursomes	Total number of irregular groups in all foursomes of the group size
2	230	7,812
3	1,059	7,957
4	1,580	5,384
5	871	2,092
6	277	588
7	88	182
8	31	62
9	13	26
10	5	10
11	2	4
12	1	2

Some repeating irregular groups form ones of bigger size and some do not. For latter ones there are:

Size	Number of independent foursomes	Total number of groups in all independent foursomes of the group size
2	111	293
3	547	1296
4	917	2085
5	493	1053
6	146	299
7	41	83
8	13	26
9	5	10
10	2	4
11	0	0
12	1	2

Some foursomes have all four kinds of uniform groups – are full foursomes.

Size	Number of full foursomes	Total number of groups in all full foursomes of the group size
2	85	6779
3	180	3988
4	84	916
5	12	65
6	1	4
7	1	4

And

Size	Number of full independent foursomes	Total number of groups in all full independent foursomes of the group size
3	3	15
4	4	22
5	2	11

These data have been gotten with the programs

eratosthenes_sieve.cpp, dynamics.cpp, allfoursomes.cpp, indfoursomes.cpp, and fullfoursomes.cpp,

executed consecutively.