Prime p₀= 1519306272083641001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: crashtech
db: batch=78, k=10, 2 34 2 40 2

STPT(10)	1519305269339734559	0 2 42 44 90 92 138 140 180 182	-1002743906442
STPT(10)	1519305414024598997	0 2 30 32 42 44 54 56 84 86	-858059042004
SPT(16)	1519305499870116307	0 34 40 46 126 150 186 216 220 250 286 310 390 396 402 436	-772213524694
SPT(16)	1519305508830177031	0 18 60 78 82 90 106 126 172 192 208 216 220 238 280 298	-763253463970
SPT(16)	1519305730557130727	0 26 66 84 92 96 120 134 252 266 290 294 302 320 360 386	-541526510274
STPT(10)	1519306238683623191	0 2 6 8 48 50 90 92 96 98	-33400017810
SPT(16)	1519306512907322147	0 12 32 54 72 74 120 126 170 176 222 224 242 264 284 296	240823681146
STPT(10)	1519306613162081477	0 2 30 32 42 44 54 56 84 86	341078440476
SPT(16)	1519307470877211311	0 6 20 98 102 140 150 156 242 248 258 296 300 378 392 398	1198793570310
SPT(16)	1519307721864517589	0 30 50 72 98 102 210 218 264 272 380 384 410 432 452 482	1449780876588
STPT(10)	1519307749086697457	0 2 24 26 42 44 60 62 84 86	1477003056456