Prime p₀= 2166281867456996291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Penguin
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2166279254676072659	0 2 12 14 30 32 48 50 60 62	-2612780923632
STPT(12)	2166279465933509657	0 2 24 26 84 86 90 92 150 152 174 176	-2401523486634
SPT(16)	2166280167668652419	0 38 48 90 98 102 104 114 158 168 170 174 182 224 234 272	-1699788343872
SPT(16)	2166281258644743689	0 72 80 98 122 150 158 168 224 234 242 270 294 312 320 392	-608812252602
SPT(16)	2166281747794248059	0 2 114 120 132 138 170 204 308 342 374 380 392 398 510 512	-119662748232
TPT(14)	2166281867283349469	0 2 12 14 90 92 162 164 252 254 300 302 318 320	-173646822
TPT(14)	2166281979686964569	0 2 42 44 48 50 150 152 222 224 300 302 342 344	112229968278
STPT(10)	2166282101729857607	0 2 12 14 42 44 72 74 84 86	234272861316
STPT(10)	2166282233986716257	0 2 24 26 42 44 60 62 84 86	366529719966
SPT(16)	2166282263607407311	0 28 88 126 160 216 238 252 286 300 322 378 412 450 510 538	396150411020
STPT(10)	2166282293917822151	0 2 36 38 78 80 120 122 156 158	426460825860