Prime p₀= 2309826298644383927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: FritzB
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2309825428327864327	0 30 40 46 52 66 82 84 112 114 130 144 150 156 166 196	-870316519600
SPT(16)	2309825516283343507	0 4 36 42 52 66 82 144 172 234 250 264 274 280 312 316	-782361040420
SPT(16)	2309825672847830219	0 20 60 62 90 120 164 168 224 228 272 302 330 332 372 392	-625796553708
SPT(16)	2309826024159993611	0 18 20 108 126 180 186 188 228 230 236 290 308 396 398 416	-274484390316
STPT(10)	2309826155895222719	0 2 18 20 30 32 42 44 60 62	-142749161208
STPT(10)	2309826259797630419	0 2 18 20 30 32 42 44 60 62	-38846753508
SPT(16)	2309826337296560543	0 6 18 26 84 114 156 186 278 308 350 380 438 446 458 464	38652176616
SPT(16)	2309826674512530637	0 34 72 102 120 132 172 204 280 312 352 364 382 412 450 484	375868146710
STPT(10)	2309826913715773391	0 2 36 38 78 80 120 122 156 158	615071389464
TPT(14)	2309826953667740261	0 2 60 62 96 98 126 128 186 188 228 230 240 242	655023356334
STPT(10)	2309827019080929707	0 2 60 62 72 74 84 86 144 146	720436545780