Prime p₀= 2323346969583124781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2323346391156490121	0 2 36 38 78 80 120 122 156 158	-578426634660
SPT(16)	2323346589355788863	0 14 26 44 60 80 86 96 158 168 174 194 210 228 240 254	-380227335918
SPT(16)	2323346600609017259	0 30 42 68 72 78 90 128 222 260 272 278 282 308 320 350	-368974107522
SPT(16)	2323346614804126033	0 28 58 66 78 106 118 156 238 276 288 316 328 336 366 394	-354778998748
SPT(16)	2323346648557675339	0 4 18 58 82 174 184 190 222 228 238 330 354 394 408 412	-321025449442
SPT(16)	2323346802985919423	0 6 14 56 60 84 104 116 138 150 170 194 198 240 248 254	-166597205358
STPT(10)	2323346980334986181	0 2 36 38 78 80 120 122 156 158	10751861400
SPT(16)	2323347074552369989	0 48 84 88 90 118 132 184 198 250 264 292 294 298 334 382	104969245208
SPT(16)	2323347110500291321	0 66 78 96 120 160 166 216 322 372 378 418 442 460 472 538	140917166540
STPT(10)	2323347309026309339	0 2 48 50 90 92 132 134 180 182	339443184558
STPT(10)	2323347356894976077	0 2 30 32 42 44 54 56 84 86	387311851296