Prime p₀= 2310245438864694311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: FritzB
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2310243673590616721	0 18 42 86 90 140 168 266 282 380 408 458 462 506 530 548	-1765274077590
STPT(10)	2310243913021709837	0 2 30 32 42 44 54 56 84 86	-1525842984474
SPT(16)	2310244073610236131	0 46 90 102 112 130 168 250 258 340 378 396 406 418 462 508	-1365254458180
SPT(16)	2310244241053743223	0 6 64 78 88 150 166 210 214 258 274 336 346 360 418 424	-1197810951088
SPT(16)	2310244384747306619	0 2 78 170 182 210 234 260 282 308 332 360 372 464 540 542	-1054117387692
SPT(16)	2310244571407453349	0 42 60 128 132 138 260 302 348 390 512 518 522 590 608 650	-867457240962
SPT(16)	2310245516206964597	0 42 50 62 66 72 74 84 122 132 134 140 144 156 164 206	77342270286
STPT(10)	2310245708184391301	0 2 36 38 78 80 120 122 156 158	269319696990
TPT(14)	2310245718034692677	0 2 42 44 72 74 120 122 150 152 192 194 324 326	279169998366
STPT(12)	2310245718034692677	0 2 42 44 72 74 120 122 150 152 192 194	279169998366
STPT(10)	2310246211085376869	0 2 48 50 90 92 132 134 180 182	772220682558