Prime p₀= 2697490175895220799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: biodoc
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2697487322998004837	0 2 24 26 42 44 60 62 84 86	-2852897215962
SPT(16)	2697487355818665733	0 16 30 36 46 60 120 130 180 190 250 264 274 280 294 310	-2820076555066
SPT(16)	2697487367115842881	0 42 72 88 136 208 216 238 240 262 270 342 390 406 436 478	-2808779377918
SPT(16)	2697487431382710749	0 14 24 98 138 150 234 252 290 308 392 404 444 518 528 542	-2744512510050
SPT(16)	2697487840455332083	0 48 108 118 120 124 130 144 154 168 174 178 180 190 250 298	-2335439888716
STPT(10)	2697488051634998507	0 2 30 32 42 44 54 56 84 86	-2124260222292
SPT(16)	2697490379815106401	0 12 78 82 106 120 136 168 250 282 298 312 336 340 406 418	203919885602
SPT(16)	2697490403539105883	0 38 90 98 158 170 276 284 300 308 414 426 486 494 546 584	227643885084
STPT(10)	2697491095573816667	0 2 30 32 72 74 114 116 144 146	919678595868
STPT(10)	2697491202197997209	0 2 42 44 90 92 138 140 180 182	1026302776410
SPT(16)	2697491916130476461	0 2 66 80 90 98 126 140 288 302 330 338 348 362 426 428	1740235255662