Prime p₀= 2515577856393622817 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)	2515577485057289909	0 32 42 60 90 102 114 132 152 170 182 194 224 242 252 284	-371336332908
STPT(10)	2515577485712938637	0 2 12 14 42 44 72 74 84 86	-370680684180
TPT(14)	2515577708541879029	0 2 180 182 222 224 240 242 270 272 462 464 570 572	-147851743788
SPT(16)	2515577710990899469	0 10 22 24 28 40 48 84 88 124 132 144 148 150 162 172	-145402723348
SPT(16)	2515577757960086119	0 4 10 60 82 88 108 112 150 154 174 180 202 252 258 262	-98433536698
TPT(14)	2515577812327915607	0 2 24 26 42 44 60 62 72 74 114 116 240 242	-44065707210
STPT(10)	2515578518743863437	0 2 12 14 72 74 132 134 144 146	662350240620
SPT(16)	2515578691097174981	0 78 80 90 92 120 146 222 356 432 458 486 488 498 500 578	834703552164
SPT(16)	2515578736798785577	0 72 90 96 126 192 220 282 304 366 394 460 490 496 514 586	880405162760
STPT(10)	2515578898103894237	0 2 24 26 42 44 60 62 84 86	1041710271420
SPT(16)	2515578957200345291	0 50 92 132 188 210 260 302 348 390 440 462 518 558 600 650	1100806722474