Prime p₀= 2313252747933586409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: vinn@[CNT]
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2313251046864258377	0 2 30 32 42 44 60 62 90 92 120 122 240 242	-1701069328032
STPT(10)	2313251117816446079	0 2 18 20 30 32 42 44 60 62	-1630117140330
SPT(16)	2313251323954253273	0 24 48 56 84 86 140 164 240 264 318 320 348 356 380 404	-1423979333136
SPT(20)	2313251913955995293	0 26 116 128 134 138 144 150 164 186 218 240 254 260 266 270 276 288 378 404	-833977591116
SPT(16)	2313252091755352051	0 10 28 36 58 72 78 82 96 100 106 120 142 150 168 178	-656178234358
STPT(10)	2313252379211969519	0 2 18 20 30 32 42 44 60 62	-368721616890
STPT(10)	2313252836114285627	0 2 42 44 72 74 102 104 144 146	88180699218
STPT(10)	2313253207183833329	0 2 18 20 30 32 42 44 60 62	459250246920
STPT(10)	2313253422591534299	0 2 30 32 60 62 90 92 120 122	674657947890
SPT(20)	2313253716968371363	0 54 76 84 124 228 238 250 264 286 348 370 384 396 406 510 550 558 580 634	969034784954
SPT(16)	2313254122422947579	0 50 68 72 78 120 204 234 338 368 452 494 500 504 522 572	1374489361170