Prime p₀= 2309781369523534631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: FritzB
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2309779824280709299	0 84 120 154 184 190 192 250 252 310 312 318 348 382 418 502	-1545242825332
SPT(16)	2309780129652424603	0 6 10 30 76 96 150 154 180 184 238 258 304 324 328 334	-1239871110028
SPT(16)	2309780567388535403	0 18 30 68 74 78 84 194 210 320 326 330 336 374 386 404	-802134999228
SPT(16)	2309780689449272453	0 8 30 36 66 68 120 134 270 284 336 338 368 374 396 404	-680074262178
TPT(14)	2309781027099012461	0 2 66 68 78 80 126 128 306 308 330 332 366 368	-342424522170
SPT(16)	2309781055699440061	0 6 12 30 118 126 138 142 156 160 172 180 268 286 292 298	-313824094570
TPT(14)	2309781486182551037	0 2 54 56 60 62 72 74 150 152 180 182 192 194	116659016406
STPT(10)	2309781494304721781	0 2 36 38 78 80 120 122 156 158	124781187150
STPT(10)	2309781567290386331	0 2 6 8 18 20 30 32 36 38	197766851700
SPT(16)	2309782112107071221	0 72 78 90 116 126 176 180 428 432 482 492 518 530 536 608	742583536590
STPT(10)	2309782165467945587	0 2 12 14 42 44 72 74 84 86	795944410956