Prime p₀= 2322889190497114637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2322887953828200637	0 22 40 90 112 132 172 190 222 240 280 300 322 372 390 412	-1236668914000
STPT(10)	2322888309599563241	0 2 6 8 48 50 90 92 96 98	-880897551396
SPT(16)	2322888360715157273	0 26 36 48 56 78 90 96 128 134 146 168 176 188 198 224	-829781957364
SPT(16)	2322888447961793911	0 30 40 52 66 78 156 192 196 232 310 322 336 348 358 388	-742535320726
SPT(16)	2322888903701762141	0 26 42 56 62 132 140 162 230 252 260 330 336 350 366 392	-286795352496
SPT(16)	2322888914775102353	0 14 78 84 98 128 150 164 240 254 276 306 320 326 390 404	-275722012284
STPT(10)	2322890253750242357	0 2 30 32 42 44 54 56 84 86	1063253127720
STPT(10)	2322890268288550031	0 2 36 38 78 80 120 122 156 158	1077791435394
SPT(16)	2322890593868296481	0 2 38 42 66 116 122 128 150 156 162 212 236 240 276 278	1403371181844
STPT(10)	2322890678635339361	0 2 6 8 48 50 90 92 96 98	1488138224724
SPT(18)	2322890788688072677	0 12 46 112 120 156 184 210 270 376 436 462 490 526 534 600 634 646	1598190958040