Prime p₀= 2069701073796538079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: gemini8
db: batch=80, k=10, 2 16 2 40 2

SPT(18)	2069699505702304159	0 24 28 34 52 112 132 202 204 208 210 280 300 360 378 384 388 412	-1568094233920
STPT(10)	2069699537685613019	0 2 18 20 30 32 42 44 60 62	-1536110925060
STPT(10)	2069699742897725201	0 2 6 8 48 50 90 92 96 98	-1330898812878
STPT(10)	2069699931174256499	0 2 18 20 30 32 42 44 60 62	-1142622281580
STPT(10)	2069700749832563987	0 2 42 44 72 74 102 104 144 146	-323963974092
SPT(16)	2069700774021465379	0 22 42 48 90 114 130 144 268 282 298 322 364 370 390 412	-299775072700
SPT(16)	2069701638003457603	0 88 94 138 148 208 250 294 340 384 426 486 496 540 546 634	564206919524
STPT(10)	2069701746160513037	0 2 42 44 72 74 102 104 144 146	672363974958
STPT(10)	2069701774972323929	0 2 48 50 90 92 132 134 180 182	701175785850
SPT(16)	2069701835522502529	0 18 52 102 112 124 150 190 192 232 258 270 280 330 364 382	761725964450
STPT(10)	2069701901464176611	0 2 30 32 78 80 126 128 156 158	827667638532