Prime p₀= 2874531083733188849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Roadranner
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2874529863178386913	0 34 76 90 100 108 120 196 198 274 286 294 304 318 360 394	-1220554801936
STPT(10)	2874530490296766617	0 2 30 32 42 44 54 56 84 86	-593436422232
STPT(10)	2874530514379279661	0 2 6 8 48 50 90 92 96 98	-569353909188
STPT(10)	2874530651747558117	0 2 30 32 72 74 114 116 144 146	-431985630732
STPT(10)	2874530906097657809	0 2 30 32 60 62 90 92 120 122	-177635531040
SPT(16)	2874530980971526091	0 8 12 50 78 116 152 182 246 276 312 350 378 416 420 428	-102761662758
STPT(10)	2874531270210589877	0 2 30 32 42 44 54 56 84 86	186477401028
TPT(14)	2874531876361795751	0 2 78 80 96 98 180 182 210 212 288 290 426 428	792628606902
STPT(10)	2874532091943873467	0 2 30 32 42 44 54 56 84 86	1008210684618
STPT(10)	2874532264925968247	0 2 30 32 42 44 54 56 84 86	1181192779398
SPT(18)	2874532828588712849	0 8 12 42 90 98 104 158 174 188 204 258 264 272 320 350 354 362	1744855524000