Prime p₀= 2851717883519040659 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: JayPi
db: batch=82, k=10, 2 10 2 16 2

TPT(14)	2851717484813520569	0 2 42 44 120 122 162 164 180 182 198 200 210 212	-398705520090
SPT(16)	2851717529535164267	0 26 50 90 96 152 164 222 314 372 384 440 446 486 510 536	-353983876392
STPT(12)	2851717666018548209	0 2 78 80 108 110 180 182 210 212 288 290	-217500492450
SPT(18)	2851717675703830159	0 30 42 52 70 120 130 168 198 274 304 342 352 402 420 430 442 472	-207815210500
SPT(16)	2851717691918008829	0 32 42 48 60 68 102 110 180 188 222 230 242 248 258 290	-191601031830
SPT(16)	2851717838439171241	0 16 28 96 100 106 178 180 196 198 270 276 280 348 360 376	-45079869418
SPT(16)	2851718026032623171	0 2 26 42 48 62 86 90 218 222 246 260 266 282 306 308	142513582512
SPT(16)	2851718209360879657	0 30 60 66 84 100 126 186 190 250 276 292 310 316 346 376	325841838998
STPT(10)	2851718356169787161	0 2 30 32 78 80 126 128 156 158	472650746502
STPT(10)	2851718963367181709	0 2 42 44 90 92 138 140 180 182	1079848141050
STPT(10)	2851719337725249359	0 2 18 20 30 32 42 44 60 62	1454206208700