Prime p₀= 2397306093365625329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2397304758591791483	0 26 50 68 110 128 134 156 308 330 336 354 396 414 438 464	-1334773833846
SPT(16)	2397304959171584419	0 12 18 34 40 42 88 118 144 174 220 222 228 244 250 262	-1134194040910
TPT(14)	2397305550130055417	0 2 12 14 54 56 282 284 360 362 492 494 534 536	-543235569912
SPT(16)	2397305879591089289	0 18 32 72 78 84 102 138 284 320 338 344 350 390 404 422	-213774536040
SPT(16)	2397305887638862699	0 4 10 22 24 102 130 154 168 192 220 298 300 312 318 322	-205726762630
SPT(16)	2397305955385707277	0 30 84 106 112 132 150 162 274 286 304 324 330 352 406 436	-137979918052
STPT(10)	2397306096724894517	0 2 30 32 42 44 54 56 84 86	3359269188
STPT(10)	2397306353973011597	0 2 30 32 42 44 54 56 84 86	260607386268
SPT(16)	2397306358475843599	0 24 30 52 72 82 88 100 222 234 240 250 270 292 298 322	265110218270
STPT(10)	2397306724647931277	0 2 24 26 42 44 60 62 84 86	631282305948
STPT(10)	2397307093838131127	0 2 42 44 102 104 162 164 204 206	1000472505798