Prime p₀= 2689443484418946557 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: suriv
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2689442664470000597	0 2 30 32 54 56 90 92 114 116 144 146	-819948945960
SPT(16)	2689442757426422303	0 14 36 38 48 50 116 140 144 168 234 236 246 248 270 284	-726992524254
SPT(16)	2689442827440001669	0 28 70 102 130 142 234 274 318 358 450 462 490 522 564 592	-656978944888
STPT(10)	2689442854663872401	0 2 6 8 48 50 90 92 96 98	-629755074156
SPT(16)	2689442855649359113	0 58 64 76 126 168 174 204 280 310 316 358 408 420 426 484	-628769587444
STPT(10)	2689443315611953931	0 2 30 32 60 62 90 92 120 122	-168806992626
STPT(10)	2689443835560496097	0 2 30 32 72 74 114 116 144 146	351141549540
STPT(10)	2689443881525512427	0 2 30 32 42 44 54 56 84 86	397106565870
SPT(16)	2689444286973590389	0 40 42 60 88 94 144 172 270 298 348 354 382 400 402 442	802554643832
STPT(10)	2689444335747100829	0 2 42 44 60 62 78 80 120 122	851328154272
STPT(10)	2689444655411369897	0 2 30 32 42 44 54 56 84 86	1170992423340