Prime p₀= 2310344466912906269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2310343806363061289	0 2 18 20 30 32 42 44 60 62	-660549844980
STPT(10)	2310343900917103169	0 2 18 20 30 32 42 44 60 62	-565995803100
STPT(10)	2310343983234875051	0 2 36 38 78 80 120 122 156 158	-483678031218
SPT(16)	2310344379570797177	0 54 66 80 84 86 104 116 180 192 210 212 216 230 242 296	-87342109092
STPT(10)	2310344399327811071	0 2 36 38 78 80 120 122 156 158	-67585095198
TPT(14)	2310344462610087359	0 2 42 44 78 80 198 200 222 224 240 242 252 254	-4302818910
STPT(10)	2310345765022246487	0 2 30 32 42 44 54 56 84 86	1298109340218
SPT(16)	2310346473398455711	0 42 72 108 130 186 190 192 316 318 322 378 400 436 466 508	2006485549442
SPT(16)	2310346598964383009	0 18 30 42 174 198 240 242 270 272 314 338 470 482 494 512	2132051476740
SPT(16)	2310346724615295811	0 12 16 30 58 100 120 126 142 148 168 210 238 252 256 268	2257702389542
STPT(10)	2310346769715412847	0 2 42 44 72 74 102 104 144 146	2302802506578