Prime p₀= 3715512675609664247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: SEARCHER
db: batch=84, k=10, 2 40 2 88 2

SPT(16)	3715510219076953471	0 10 48 72 82 130 150 220 258 328 348 396 406 430 468 478	-2456532710776
TPT(14)	3715510509247513517	0 2 30 32 60 62 72 74 114 116 132 134 162 164	-2166362150730
SPT(16)	3715511827036336637	0 14 30 50 92 126 134 162 164 192 200 234 276 296 312 326	-848573327610
SPT(16)	3715512069822737131	0 28 72 126 142 210 246 250 318 322 358 426 442 496 540 568	-605786927116
SPT(16)	3715512211094032313	0 30 54 150 164 194 254 258 290 294 354 384 398 494 518 548	-464515631934
SPT(16)	3715512239861572471	0 10 16 18 46 48 66 76 192 202 220 222 250 252 258 268	-435748091776
STPT(10)	3715512796067285567	0 2 54 56 72 74 90 92 144 146	120457621320
STPT(10)	3715513006221231539	0 2 18 20 30 32 42 44 60 62	330611567292
SPT(16)	3715513062909788941	0 36 40 82 108 120 126 150 238 262 268 280 306 348 352 388	387300124694
STPT(10)	3715513086979396889	0 2 18 20 30 32 42 44 60 62	411369732642
SPT(16)	3715513754174143457	0 32 56 74 84 92 110 116 120 126 144 152 162 180 204 236	1078564479210