Prime p₀= 2309965645705801817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2309964586256097721	0 12 18 30 52 60 112 126 142 156 208 216 238 250 256 268	-1059449704096
SPT(16)	2309965038663961031	0 2 36 68 72 78 86 108 110 132 140 146 150 182 216 218	-607041840786
SPT(18)	2309965447980771457	0 6 34 60 64 66 100 114 132 424 442 456 490 492 496 522 550 556	-197725030360
SPT(16)	2309965519530022267	0 42 60 70 84 112 114 130 156 172 174 202 216 226 244 286	-126175779550
STPT(10)	2309965525430869037	0 2 30 32 42 44 54 56 84 86	-120274932780
SPT(16)	2309965535480667593	0 6 8 18 68 126 138 176 228 266 278 336 386 396 398 404	-110225134224
STPT(10)	2309965786268170991	0 2 36 38 78 80 120 122 156 158	140562369174
SPT(16)	2309965957966791353	0 84 116 138 150 186 204 228 326 350 368 404 416 438 470 554	312260989536
SPT(16)	2309966260834666463	0 68 80 98 120 150 156 176 228 248 254 284 306 324 336 404	615128864646
SPT(16)	2309966709190805671	0 6 10 90 108 130 168 220 336 388 426 448 466 546 550 556	1063485003854
STPT(10)	2309966850552120437	0 2 30 32 42 44 54 56 84 86	1204846318620