Prime p₀= 2309965525430869037 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)	2309963891882464691	0 20 30 42 48 60 108 156 242 290 338 350 356 368 378 398	-1633548404346
TPT(14)	2309964325454464517	0 2 24 26 60 62 102 104 144 146 150 152 210 212	-1199976404520
SPT(16)	2309964586256097721	0 12 18 30 52 60 112 126 142 156 208 216 238 250 256 268	-939174771316
SPT(16)	2309965038663961031	0 2 36 68 72 78 86 108 110 132 140 146 150 182 216 218	-486766908006
SPT(18)	2309965447980771457	0 6 34 60 64 66 100 114 132 424 442 456 490 492 496 522 550 556	-77450097580
SPT(16)	2309965519530022267	0 42 60 70 84 112 114 130 156 172 174 202 216 226 244 286	-5900846770
SPT(16)	2309965535480667593	0 6 8 18 68 126 138 176 228 266 278 336 386 396 398 404	10049798556
STPT(10)	2309965645705801817	0 2 30 32 42 44 54 56 84 86	120274932780
STPT(10)	2309965786268170991	0 2 36 38 78 80 120 122 156 158	260837301954
SPT(16)	2309965957966791353	0 84 116 138 150 186 204 228 326 350 368 404 416 438 470 554	432535922316
SPT(16)	2309966260834666463	0 68 80 98 120 150 156 176 228 248 254 284 306 324 336 404	735403797426