Prime p₀= 2322890253750242357 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: WTBroughton
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2322888309599563241	0 2 6 8 48 50 90 92 96 98	-1944150679116
SPT(16)	2322888360715157273	0 26 36 48 56 78 90 96 128 134 146 168 176 188 198 224	-1893035085084
SPT(16)	2322888447961793911	0 30 40 52 66 78 156 192 196 232 310 322 336 348 358 388	-1805788448446
SPT(16)	2322888903701762141	0 26 42 56 62 132 140 162 230 252 260 330 336 350 366 392	-1350048480216
SPT(16)	2322888914775102353	0 14 78 84 98 128 150 164 240 254 276 306 320 326 390 404	-1338975140004
STPT(10)	2322889190497114637	0 2 30 32 72 74 114 116 144 146	-1063253127720
STPT(10)	2322890268288550031	0 2 36 38 78 80 120 122 156 158	14538307674
SPT(16)	2322890593868296481	0 2 38 42 66 116 122 128 150 156 162 212 236 240 276 278	340118054124
STPT(10)	2322890678635339361	0 2 6 8 48 50 90 92 96 98	424885097004
SPT(18)	2322890788688072677	0 12 46 112 120 156 184 210 270 376 436 462 490 526 534 600 634 646	534937830320
SPT(16)	2322891481913073373	0 40 46 100 250 316 340 364 366 390 414 480 630 684 690 730	1228162831016