Prime p₀= 2315727184228266671 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: Orange Kid
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2315725306128242609	0 2 72 90 104 122 210 234 338 362 450 468 482 500 570 572	-1878100024062
SPT(16)	2315725317006453943	0 16 34 96 114 204 216 226 264 274 286 376 394 456 474 490	-1867221812728
STPT(10)	2315725418258441219	0 2 18 20 30 32 42 44 60 62	-1765969825452
SPT(16)	2315726034932601131	0 12 38 60 78 80 140 150 170 180 240 242 260 282 308 320	-1149295665540
SPT(16)	2315726243401134229	0 24 30 42 72 78 108 124 138 154 184 190 220 232 238 262	-940827132442
STPT(10)	2315726631842082461	0 2 30 32 60 62 90 92 120 122	-552386184210
TPT(14)	2315727854785800179	0 2 30 32 48 50 60 62 90 92 132 134 138 140	670557533508
SPT(16)	2315727856569526433	0 30 80 108 138 150 194 240 308 354 398 410 440 468 518 548	672341259762
STPT(10)	2315728457012670611	0 2 6 8 18 20 30 32 36 38	1272784403940
SPT(16)	2315728933507724107	0 46 72 106 114 190 234 270 286 322 366 442 450 484 510 556	1749279457436
STPT(10)	2315729371153574417	0 2 30 32 42 44 54 56 84 86	2186925307746