Prime p₀= 2522666316916586177 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2522664003436707017	0 2 24 26 42 44 60 62 84 86	-2313479879160
SPT(18)	2522664505381996537	0 16 64 72 90 112 202 214 246 280 312 324 414 436 454 462 510 526	-1811534589640
SPT(16)	2522664777814858981	0 12 156 210 250 282 310 322 330 342 370 402 442 496 640 652	-1539101727196
STPT(10)	2522664849459829727	0 2 42 44 102 104 162 164 204 206	-1467456756450
STPT(10)	2522665005844494491	0 2 30 32 78 80 126 128 156 158	-1311072091686
STPT(10)	2522665847532842897	0 2 12 14 42 44 72 74 84 86	-469383743280
SPT(16)	2522666459508691231	0 22 82 106 138 150 178 180 238 240 268 280 312 336 396 418	142592105054
STPT(10)	2522666566456976279	0 2 18 20 30 32 42 44 60 62	249540390102
SPT(16)	2522666570749540867	0 4 40 72 112 114 156 166 270 280 322 324 364 396 432 436	253832954690
SPT(16)	2522667164391735197	0 14 36 72 84 92 152 194 312 354 414 422 434 470 492 506	847475149020
SPT(16)	2522667315587972011	0 28 30 76 90 112 132 142 156 166 186 208 222 268 270 298	998671385834