Prime p₀= 2731000564033005359 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2730999599650496687	0 2 42 44 102 104 162 164 204 206	-964382508672
STPT(10)	2730999887301256391	0 2 6 8 18 20 30 32 36 38	-676731748968
STPT(10)	2730999902645083967	0 2 60 62 72 74 84 86 144 146	-661387921392
TPT(14)	2731000011728417279	0 2 12 14 48 50 102 104 180 182 222 224 270 272	-552304588080
STPT(10)	2731000267844311949	0 2 48 50 90 92 132 134 180 182	-296188693410
TPT(14)	2731000562493005597	0 2 54 56 90 92 114 116 240 242 252 254 504 506	-1539999762
STPT(10)	2731000618286169497	0 2 30 32 72 74 114 116 144 146	54253164138
SPT(16)	2731000995389927713	0 34 36 60 84 90 154 166 168 180 244 250 274 298 300 334	431356922354
SPT(16)	2731002008730571739	0 14 78 144 204 210 228 234 284 290 308 314 374 440 504 518	1444697566380
SPT(16)	2731002274541402677	0 30 46 76 82 156 184 244 252 312 340 414 420 450 466 496	1710508397318
SPT(16)	2731002326499679667	0 2 24 42 44 74 114 152 252 290 330 360 362 380 402 404	1762466674308