Prime p₀= 2956343423727508457 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: MarkRBright
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2956342255089736991	0 2 30 32 78 80 126 128 156 158	-1168637771466
SPT(16)	2956342300214468467	0 4 30 64 96 186 196 214 222 240 250 340 372 406 432 436	-1123513039990
STPT(10)	2956342630098117311	0 2 6 8 18 20 30 32 36 38	-793629391146
TPT(14)	2956342702486262819	0 2 228 230 372 374 378 380 498 500 540 542 660 662	-721241245638
STPT(10)	2956342736399599367	0 2 60 62 72 74 84 86 144 146	-687327909090
TPT(16)	2956342918125462641	0 2 96 98 138 140 150 152 156 158 276 278 360 362 378 380	-505602045816
STPT(10)	2956343665235097419	0 2 18 20 60 62 102 104 120 122	241507588962
SPT(16)	2956343812684299497	0 26 42 126 146 152 174 260 276 362 384 390 410 494 510 536	388956791040
TPT(14)	2956344156067644779	0 2 90 92 138 140 150 152 258 260 288 290 318 320	732340136322
SPT(16)	2956344171172514173	0 28 64 78 88 150 154 178 270 294 298 360 370 384 420 448	747445005716
SPT(16)	2956344226050590693	0 14 38 44 84 146 164 230 234 300 318 380 420 426 450 464	802323082236