Prime p₀= 817106570385050051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: [SG]FX
db: batch=73, k=10, 2 28 2 88 2

SPT(20)	817105463228025899	0 42 104 110 120 134 222 272 288 300 302 314 330 380 468 482 492 498 560 602	-1107157024152
STPT(10)	817105561467003407	0 2 30 32 42 44 54 56 84 86	-1008918046644
SPT(16)	817105678669587611	0 12 30 68 80 126 128 132 146 150 152 198 210 248 266 278	-891715462440
STPT(10)	817105695948869807	0 2 30 32 42 44 54 56 84 86	-874436180244
SPT(16)	817106148392125357	0 42 72 94 100 124 220 250 276 306 402 426 432 454 484 526	-421992924694
SPT(16)	817106168396441479	0 48 58 84 90 112 114 124 168 178 180 202 208 234 244 292	-401988608572
STPT(10)	817107228806181149	0 2 48 50 90 92 132 134 180 182	658421131098
STPT(10)	817107362549107541	0 2 6 8 18 20 30 32 36 38	792164057490
SPT(16)	817108088004165911	0 18 38 42 56 62 72 92 156 176 186 192 206 210 230 248	1517619115860
SPT(16)	817108133695321471	0 58 76 126 132 136 150 160 198 208 222 226 232 282 300 358	1563310271420
TPT(14)	817108323191391149	0 2 18 20 42 44 72 74 78 80 120 122 162 164	1752806341098