Prime p₀= 2806594105190317217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(12)	2806591173777291881	0 2 30 32 78 80 198 200 246 248 276 278	-2931413025336
STPT(10)	2806591781120998691	0 2 6 8 18 20 30 32 36 38	-2324069318526
SPT(16)	2806592064638077589	0 54 68 104 150 170 180 188 234 242 252 272 318 354 368 422	-2040552239628
SPT(16)	2806593021644973751	0 16 22 66 88 102 106 108 190 192 196 210 232 276 282 298	-1083545343466
TPT(14)	2806593255160200731	0 2 30 32 66 68 78 80 156 158 168 170 198 200	-850030116486
SPT(16)	2806593338527661197	0 22 34 84 130 154 162 240 256 334 342 366 412 462 474 496	-766662656020
SPT(16)	2806594108590629729	0 8 14 50 78 84 110 120 128 138 164 170 198 234 240 248	3400312512
STPT(10)	2806594538136172097	0 2 30 32 72 74 114 116 144 146	432945854880
STPT(10)	2806594860513728699	0 2 48 50 60 62 72 74 120 122	755323411482
STPT(10)	2806595069698118969	0 2 48 50 90 92 132 134 180 182	964507801752
SPT(16)	2806595097426803219	0 42 54 98 104 108 180 218 264 302 374 378 384 428 440 482	992236486002