Prime p₀= 2136740508715139099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: TheKillerChicken
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2136739147166017439	0 38 62 78 84 104 140 234 248 342 378 398 404 420 444 482	-1361549121660
STPT(10)	2136739667232614891	0 2 150 152 168 170 186 188 336 338	-841482524208
SPT(16)	2136739688323054043	0 20 26 38 54 78 120 140 144 164 206 230 246 258 264 284	-820392085056
SPT(16)	2136739808000704171	0 12 66 70 88 96 156 210 238 292 352 360 378 382 436 448	-700714434928
STPT(10)	2136739847838846671	0 2 36 38 78 80 120 122 156 158	-660876292428
SPT(16)	2136739884633966413	0 8 44 48 74 110 114 146 168 200 204 240 266 270 306 314	-624081172686
SPT(16)	2136740765303658361	0 42 58 60 66 72 78 136 162 220 226 232 238 240 256 298	256588519262
SPT(16)	2136740857564563863	0 60 74 90 104 158 188 204 224 240 270 324 338 354 368 428	348849424764
STPT(10)	2136741134629744931	0 2 36 38 78 80 120 122 156 158	625914605832
STPT(10)	2136741436108659431	0 2 6 8 18 20 30 32 36 38	927393520332
STPT(10)	2136741562149833381	0 2 78 80 138 140 198 200 276 278	1053434694282