Prime p₀= 2136649684883680661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Dirk Broer
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2136647321551002311	0 2 6 8 18 20 30 32 36 38	-2363332678350
SPT(16)	2136647592706984453	0 4 10 28 66 88 90 120 244 274 276 298 336 354 360 364	-2092176696208
SPT(16)	2136648038836760023	0 16 60 78 94 130 138 144 190 196 204 240 256 274 318 334	-1646046920638
SPT(16)	2136648099426038689	0 28 82 154 184 204 222 240 262 280 298 318 348 420 474 502	-1585457641972
STPT(10)	2136648211909046357	0 2 30 32 42 44 54 56 84 86	-1472974634304
SPT(16)	2136649101409248961	0 30 40 42 96 100 106 112 126 132 138 142 196 198 208 238	-583474431700
STPT(10)	2136650455587892001	0 2 6 8 18 20 30 32 36 38	770704211340
STPT(10)	2136650471381159099	0 2 42 44 60 62 78 80 120 122	786497478438
STPT(10)	2136650532531546671	0 2 6 8 48 50 90 92 96 98	847647866010
SPT(16)	2136651140706573619	0 34 84 118 130 144 168 220 252 304 328 342 354 388 438 472	1455822892958
SPT(16)	2136651468182484941	0 2 6 18 30 36 72 98 120 146 182 188 200 212 216 218	1783298804280