Prime p₀= 2317412271694278917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 58 2

STPT(10)	2317410461109776729	0 2 12 14 90 92 168 170 180 182	-1810584502188
SPT(16)	2317410553717628989	0 34 42 60 118 132 142 202 240 300 310 324 382 400 408 442	-1717976649928
STPT(10)	2317410773256778229	0 2 18 20 30 32 42 44 60 62	-1498437500688
STPT(10)	2317411068904751717	0 2 42 44 72 74 102 104 144 146	-1202789527200
SPT(16)	2317411145231940827	0 60 80 110 122 266 270 290 342 362 366 510 522 552 572 632	-1126462338090
SPT(16)	2317411377735063661	0 28 42 46 72 102 162 178 210 226 286 316 342 346 360 388	-893959215256
STPT(10)	2317412677557254747	0 2 30 32 42 44 54 56 84 86	405862975830
SPT(16)	2317413025045154237	0 12 42 66 104 126 152 164 192 204 230 252 290 314 344 356	753350875320
SPT(16)	2317414386177682901	0 32 36 90 98 116 140 156 272 288 312 330 338 392 396 428	2114483403984
STPT(10)	2317414521699332579	0 2 18 20 30 32 42 44 60 62	2250005053662
SPT(16)	2317414536897113957	0 2 62 80 90 120 132 176 240 284 296 326 336 354 414 416	2265202835040