Prime p₀= 2313647230097475707 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: arkiss
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2313645176938071191	0 12 20 26 42 92 96 120 122 146 150 200 216 222 230 242	-2053159404516
STPT(10)	2313645295903158359	0 2 18 20 30 32 42 44 60 62	-1934194317348
SPT(16)	2313645886854967139	0 30 114 182 228 254 270 308 324 362 378 404 450 518 602 632	-1343242508568
SPT(16)	2313646089289625357	0 2 14 26 72 80 86 116 120 150 156 164 210 222 234 236	-1140807850350
STPT(10)	2313646261452238541	0 2 6 8 48 50 90 92 96 98	-968645237166
SPT(16)	2313646781231370659	0 20 42 72 74 92 120 140 174 194 222 240 242 272 294 314	-448866105048
SPT(16)	2313648256632283217	0 20 30 114 182 230 234 264 290 320 324 372 440 524 534 554	1026534807510
SPT(16)	2313648349192317391	0 22 52 70 78 100 102 130 168 196 198 220 228 246 276 298	1119094841684
STPT(12)	2313648433938248597	0 2 54 56 84 86 150 152 180 182 234 236	1203840772890
STPT(10)	2313648701123823389	0 2 18 20 30 32 42 44 60 62	1471026347682
SPT(16)	2313649087740862099	0 22 28 64 70 72 82 90 112 120 130 132 138 174 180 202	1857643386392