Prime p₀= 817105561467003407 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: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

TPT(14)	817104796190748227	0 2 114 116 162 164 180 182 204 206 264 266 294 296	-765276255180
SPT(16)	817105085543054423	0 14 48 68 110 126 146 150 194 198 218 234 276 296 330 344	-475923948984
STPT(10)	817105169564185217	0 2 42 44 72 74 102 104 144 146	-391902818190
STPT(10)	817105385247702359	0 2 48 50 90 92 132 134 180 182	-176219301048
STPT(10)	817105414941186731	0 2 6 8 48 50 90 92 96 98	-146525816676
SPT(20)	817105463228025899	0 42 104 110 120 134 222 272 288 300 302 314 330 380 468 482 492 498 560 602	-98238977508
SPT(16)	817105678669587611	0 12 30 68 80 126 128 132 146 150 152 198 210 248 266 278	117202584204
STPT(10)	817105695948869807	0 2 30 32 42 44 54 56 84 86	134481866400
SPT(16)	817106148392125357	0 42 72 94 100 124 220 250 276 306 402 426 432 454 484 526	586925121950
SPT(16)	817106168396441479	0 48 58 84 90 112 114 124 168 178 180 202 208 234 244 292	606929438072
STPT(10)	817106570385050051	0 2 30 32 120 122 210 212 240 242	1008918046644