Prime p₀= 2317756784097922091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Orange Kid
db: batch=81, k=10, 2 106 2 28 2

STPT(10)	2317755910796563847	0 2 30 32 42 44 54 56 84 86	-873301358244
STPT(10)	2317755942426362369	0 2 138 140 180 182 222 224 360 362	-841671559722
SPT(16)	2317756093748328547	0 12 42 52 66 156 210 250 312 352 406 496 510 520 550 562	-690349593544
SPT(16)	2317756170624811591	0 76 82 90 120 132 136 162 250 276 280 292 322 330 336 412	-613473110500
SPT(16)	2317756423915019401	0 40 42 46 48 96 100 112 156 168 172 220 222 226 228 268	-360182902690
SPT(16)	2317756493152216433	0 18 38 84 248 254 270 284 300 314 330 336 500 546 566 584	-290945705658
SPT(16)	2317756834298121613	0 48 60 78 88 118 138 160 264 286 306 336 346 364 376 424	50200199522
SPT(16)	2317757521732721759	0 8 20 42 62 78 80 98 174 192 194 210 230 252 264 272	737634799668
STPT(10)	2317757529044580377	0 2 30 32 42 44 54 56 84 86	744946658286
STPT(10)	2317757690883372707	0 2 12 14 72 74 132 134 144 146	906785450616
SPT(16)	2317757794098962989	0 28 30 160 198 232 310 342 400 432 510 544 582 712 714 742	1010001040898