Prime p₀= 2310243913021709837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2310242888696041583	0 18 26 110 140 180 228 254 270 296 344 384 414 498 506 524	-1024325668254
STPT(10)	2310242996748590747	0 2 30 32 42 44 54 56 84 86	-916273119090
STPT(10)	2310243025647795419	0 2 18 20 30 32 42 44 60 62	-887373914418
SPT(16)	2310243108362882807	0 2 32 50 56 66 86 116 126 156 176 186 192 210 240 242	-804658827030
TPT(14)	2310243249587323871	0 2 36 38 198 200 228 230 240 242 300 302 330 332	-663434385966
SPT(16)	2310243673590616721	0 18 42 86 90 140 168 266 282 380 408 458 462 506 530 548	-239431093116
SPT(16)	2310244073610236131	0 46 90 102 112 130 168 250 258 340 378 396 406 418 462 508	160588526294
SPT(16)	2310244241053743223	0 6 64 78 88 150 166 210 214 258 274 336 346 360 418 424	328032033386
SPT(16)	2310244384747306619	0 2 78 170 182 210 234 260 282 308 332 360 372 464 540 542	471725596782
SPT(16)	2310244571407453349	0 42 60 128 132 138 260 302 348 390 512 518 522 590 608 650	658385743512
STPT(10)	2310245438864694311	0 2 30 32 78 80 126 128 156 158	1525842984474