Prime p₀= 2296520845992116057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2296519835606306117	0 2 54 62 80 86 176 192 194 210 300 306 324 332 384 386	-1010385809940
SPT(18)	2296520013245507891	0 18 56 80 128 132 156 210 212 396 398 452 476 480 528 552 590 608	-832746608166
SPT(16)	2296520132761077607	0 40 42 82 112 234 280 282 334 336 382 504 534 574 576 616	-713231038450
SPT(16)	2296520234440966837	0 6 42 106 132 162 172 190 216 234 244 274 300 364 400 406	-611551149220
STPT(10)	2296520249790269687	0 2 30 32 60 62 90 92 120 122	-596201846370
SPT(16)	2296520840960383013	0 56 110 116 120 126 138 140 216 218 230 236 240 246 300 356	-5031733044
SPT(16)	2296521174024758257	0 10 64 66 96 124 142 150 166 174 192 220 250 252 306 316	328032642200
STPT(10)	2296521433306803809	0 2 72 74 120 122 168 170 240 242	587314687752
SPT(16)	2296521984725591263	0 6 28 36 40 76 168 186 190 208 300 336 340 348 370 376	1138733475206
SPT(16)	2296522033519701733	0 70 76 168 184 270 280 298 366 384 394 480 496 588 594 664	1187527585676
SPT(16)	2296522269205350883	0 4 46 54 58 76 88 90 124 126 138 156 160 168 210 214	1423213234826