Prime p₀= 2309676892553984687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: FritzB
db: batch=81, k=10, 2 22 2 16 2

TPT(16)	2309675662201044461	0 2 36 38 120 122 156 158 186 188 228 230 258 260 288 290	-1230352940226
STPT(10)	2309675680274486309	0 2 30 32 60 62 90 92 120 122	-1212279498378
STPT(10)	2309675902679345021	0 2 6 8 48 50 90 92 96 98	-989874639666
SPT(16)	2309676265517762411	0 2 32 36 50 78 86 90 98 102 110 138 152 156 186 188	-627036222276
SPT(16)	2309676344255297197	0 4 22 46 60 82 174 180 196 202 294 316 330 354 372 376	-548298687490
STPT(10)	2309676700743783989	0 2 48 50 60 62 72 74 120 122	-191810200698
SPT(16)	2309677014881415769	0 30 58 108 154 162 168 178 204 214 220 228 274 324 352 382	122327431082
SPT(16)	2309677107947519173	0 30 64 90 106 118 136 180 304 348 366 378 394 420 454 484	215393534486
TPT(14)	2309677404859796969	0 2 60 62 90 92 138 140 228 230 240 242 312 314	512305812282
SPT(16)	2309677489231345379	0 2 12 18 32 38 44 72 110 138 144 150 164 170 180 182	596677360692
TPT(14)	2309677631411605337	0 2 24 26 42 44 114 116 180 182 192 194 240 242	738857620650