Prime p₀= 2798127178959200117 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2798124860795566987	0 60 70 76 94 102 124 154 192 222 244 252 270 276 286 346	-2318163633130
SPT(16)	2798125009496387507	0 24 56 74 80 126 144 254 312 422 440 486 492 510 542 566	-2169462812610
STPT(10)	2798125424490833819	0 2 48 50 90 92 132 134 180 182	-1754468366298
SPT(16)	2798126211752501759	0 20 30 84 132 134 138 152 240 254 258 260 308 362 372 392	-967206698358
STPT(10)	2798126920677345287	0 2 30 32 60 62 90 92 120 122	-258281854830
STPT(10)	2798126953648206137	0 2 12 14 42 44 72 74 84 86	-225310993980
STPT(10)	2798127247536561119	0 2 48 50 90 92 132 134 180 182	68577361002
SPT(16)	2798127402957421537	0 114 120 156 184 226 270 294 316 340 384 426 454 490 496 610	223998221420
SPT(16)	2798128127952046433	0 60 66 96 164 180 206 264 290 348 374 390 458 488 494 554	948992846316
SPT(16)	2798128181232298391	0 26 32 80 92 102 126 140 162 176 200 210 222 270 276 302	1002273098274
TPT(14)	2798128258367147141	0 2 36 38 60 62 78 80 198 200 270 272 300 302	1079407947024