Prime p₀= 4327857617970555839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Coleslaw
db: batch=85, k=10, 2 16 2 40 2

STPT(10)	4327856793156768491	0 2 6 8 48 50 90 92 96 98	-824813787348
SPT(16)	4327856807021706767	0 12 26 42 50 116 152 180 182 210 246 312 320 336 350 362	-810948849072
STPT(10)	4327856817616113317	0 2 30 32 42 44 54 56 84 86	-800354442522
SPT(16)	4327856926422215911	0 22 70 72 126 208 222 268 270 316 330 412 466 468 516 538	-691548339928
SPT(16)	4327857001830246617	0 6 36 122 150 192 194 234 302 342 344 386 414 500 530 536	-616140309222
STPT(10)	4327857035695422569	0 2 18 20 30 32 42 44 60 62	-582275133270
STPT(10)	4327857800958243491	0 2 30 32 60 62 90 92 120 122	182987687652
STPT(10)	4327858122199420799	0 2 48 50 90 92 132 134 180 182	504228864960
SPT(16)	4327858195795803241	0 28 58 72 96 108 132 156 262 286 310 322 346 360 390 418	577825247402
SPT(16)	4327858215477677641	0 46 66 76 88 112 126 132 166 172 186 210 222 232 252 298	597507121802
STPT(10)	4327858377113487287	0 2 30 32 42 44 54 56 84 86	759142931448