Prime p₀= 2697265030028931137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Dirk Broer
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2697263681118848623	0 6 36 40 46 78 88 126 130 168 178 210 216 220 250 256	-1348910082514
STPT(10)	2697263963598984761	0 2 36 38 78 80 120 122 156 158	-1066429946376
SPT(16)	2697263985332518099	0 24 70 94 180 238 280 330 352 402 444 502 588 612 658 682	-1044696413038
STPT(10)	2697264080108064821	0 2 6 8 48 50 90 92 96 98	-949920866316
SPT(16)	2697264380485657691	0 8 30 38 66 90 128 198 218 288 326 350 378 386 408 416	-649543273446
STPT(10)	2697264541994750909	0 2 18 20 30 32 42 44 60 62	-488034180228
TPT(14)	2697265279383187547	0 2 12 14 24 26 144 146 150 152 180 182 222 224	249354256410
STPT(10)	2697265545784197977	0 2 30 32 42 44 54 56 84 86	515755266840
STPT(10)	2697266239704742001	0 2 6 8 18 20 30 32 36 38	1209675810864
STPT(10)	2697266386085730629	0 2 18 20 30 32 42 44 60 62	1356056799492
SPT(16)	2697266399074598809	0 52 108 148 168 210 280 292 390 402 472 514 534 574 630 682	1369045667672