Prime p₀= 2345748918562998407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JonS
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2345747517018753389	0 2 12 14 90 92 168 170 180 182	-1401544245018
SPT(16)	2345747935653891163	0 6 36 40 48 70 96 108 136 148 174 196 204 208 238 244	-982909107244
STPT(10)	2345748136485519971	0 2 6 8 18 20 30 32 36 38	-782077478436
STPT(10)	2345748313715245589	0 2 42 44 150 152 258 260 300 302	-604847752818
STPT(10)	2345748443842592597	0 2 12 14 42 44 72 74 84 86	-474720405810
SPT(16)	2345748504719862059	0 32 44 90 104 108 114 132 140 158 164 168 182 228 240 272	-413843136348
SPT(18)	2345749008279323431	0 28 52 58 82 100 142 148 178 210 240 246 288 306 330 336 360 388	89716325024
STPT(10)	2345749191886885199	0 2 18 20 30 32 42 44 60 62	273323886792
SPT(16)	2345749500977788441	0 42 76 78 82 100 112 130 198 216 228 246 250 252 286 328	582414790034
STPT(10)	2345749656187382111	0 2 6 8 18 20 30 32 36 38	737624383704
SPT(16)	2345749837960892243	0 18 30 38 80 108 138 140 168 170 200 228 270 278 290 308	919397893836