Prime p₀= 2487164875398746909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: SEARCHER
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2487163614880467487	0 6 54 70 76 136 180 214 216 250 294 354 360 376 424 430	-1260518279422
STPT(12)	2487163823795492459	0 2 60 62 102 104 210 212 252 254 312 314	-1051603254450
SPT(16)	2487163955675746463	0 6 50 74 84 86 120 140 174 194 228 230 240 264 308 314	-919723000446
STPT(10)	2487164038752208631	0 2 6 8 48 50 90 92 96 98	-836646538278
SPT(16)	2487164420714348701	0 36 46 76 96 102 126 132 286 292 316 322 342 372 382 418	-454684398208
SPT(16)	2487164737987805353	0 46 58 70 88 118 216 228 268 280 378 408 426 438 450 496	-137410941556
SPT(18)	2487165794905186099	0 12 28 40 48 60 70 78 82 90 94 102 112 124 132 144 160 172	919506439190
SPT(16)	2487165828104009639	0 14 42 48 110 122 168 210 212 254 300 312 374 380 408 422	952705262730
STPT(10)	2487166035805089017	0 2 30 32 42 44 54 56 84 86	1160406342108
STPT(10)	2487166352363205839	0 2 18 20 30 32 42 44 60 62	1476964458930
TPT(14)	2487166429847246207	0 2 30 32 60 62 90 92 102 104 144 146 222 224	1554448499298