Prime p₀= 1167651845982475307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1167650473671381407	0 26 30 44 54 56 92 140 156 204 240 242 252 266 270 296	-1372311093900
STPT(10)	1167650868949491917	0 2 42 44 72 74 102 104 144 146	-977032983390
STPT(10)	1167651107144838929	0 2 18 20 30 32 42 44 60 62	-738837636378
STPT(10)	1167651291726293291	0 2 30 32 78 80 126 128 156 158	-554256182016
SPT(16)	1167651765317626517	0 14 24 54 110 120 122 134 210 222 224 234 290 320 330 344	-80664848790
SPT(16)	1167651828042782141	0 30 48 56 72 80 86 138 140 192 198 206 222 230 248 278	-17939693166
SPT(16)	1167651847290479389	0 12 42 54 82 100 114 174 178 238 252 270 298 310 340 352	1308004082
TPT(14)	1167652072114990127	0 2 12 14 72 74 120 122 150 152 162 164 204 206	226132514820
STPT(10)	1167652151773767839	0 2 48 50 90 92 132 134 180 182	305791292532
SPT(16)	1167652554500414023	0 6 10 18 28 34 40 54 130 144 150 156 166 174 178 184	708517938716
SPT(16)	1167652664988205999	0 12 22 42 64 70 94 114 148 168 192 198 220 240 250 262	819005730692