Prime p₀= 2317757690883372707 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

SPT(16)	2317756423915019401	0 40 42 46 48 96 100 112 156 168 172 220 222 226 228 268	-1266968353306
SPT(16)	2317756493152216433	0 18 38 84 248 254 270 284 300 314 330 336 500 546 566 584	-1197731156274
STPT(10)	2317756784097922091	0 2 108 110 138 140 168 170 276 278	-906785450616
SPT(16)	2317756834298121613	0 48 60 78 88 118 138 160 264 286 306 336 346 364 376 424	-856585251094
SPT(16)	2317757521732721759	0 8 20 42 62 78 80 98 174 192 194 210 230 252 264 272	-169150650948
STPT(10)	2317757529044580377	0 2 30 32 42 44 54 56 84 86	-161838792330
SPT(16)	2317757794098962989	0 28 30 160 198 232 310 342 400 432 510 544 582 712 714 742	103215590282
STPT(10)	2317758508657334339	0 2 18 20 60 62 102 104 120 122	817773961632
STPT(10)	2317758584230634561	0 2 30 32 78 80 126 128 156 158	893347261854
SPT(16)	2317759217883004877	0 14 42 80 104 122 132 146 150 164 174 192 216 254 282 296	1526999632170
STPT(10)	2317759392393759047	0 2 24 26 42 44 60 62 84 86	1701510386340