Prime p₀= 2313312675330398351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: WTBroughton
db: batch=81, k=10, 2 28 2 46 2

STPT(10)	2313311326720529909	0 2 12 14 90 92 168 170 180 182	-1348609868442
SPT(16)	2313311729710204523	0 6 44 56 60 80 84 86 144 146 150 170 174 186 224 230	-945620193828
SPT(16)	2313311815678525031	0 38 42 62 102 122 140 168 212 240 258 278 318 338 342 380	-859651873320
SPT(16)	2313312000306993467	0 56 66 96 116 146 210 222 320 332 396 426 446 476 486 542	-675023404884
STPT(10)	2313312269081765891	0 2 36 38 78 80 120 122 156 158	-406248632460
STPT(10)	2313312469067946677	0 2 60 62 102 104 144 146 204 206	-206262451674
SPT(16)	2313312679694952457	0 42 70 84 90 100 132 214 282 364 396 406 412 426 454 496	4364554106
SPT(16)	2313312864061357471	0 42 46 52 126 150 196 250 342 396 442 466 540 546 550 592	188730959120
STPT(10)	2313312905754732521	0 2 78 80 168 170 258 260 336 338	230424334170
STPT(10)	2313313117325600237	0 2 12 14 42 44 72 74 84 86	441995201886
STPT(10)	2313313441682169107	0 2 24 26 42 44 60 62 84 86	766351770756