Prime p₀= 2216681401676565617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Penguin
db: batch=81, k=10, 2 52 2 76 2

SPT(16)	2216680335969112697	0 26 56 74 90 110 176 224 312 360 426 446 462 480 510 536	-1065707452920
SPT(16)	2216680341803529839	0 24 84 98 108 132 138 152 210 224 230 254 264 278 338 362	-1059873035778
SPT(16)	2216680601882276737	0 54 60 70 76 124 130 202 264 336 342 390 396 406 412 466	-799794288880
STPT(10)	2216680731589816157	0 2 30 32 42 44 54 56 84 86	-670086749460
SPT(16)	2216680952691426449	0 50 78 90 132 158 180 218 222 260 282 308 350 362 390 440	-448985139168
STPT(10)	2216680969013204777	0 2 30 32 72 74 114 116 144 146	-432663360840
SPT(16)	2216681605042975181	0 12 60 66 90 96 122 168 170 216 242 248 272 278 326 338	203366409564
SPT(16)	2216682060264791029	0 30 58 78 82 84 100 172 180 252 268 270 274 294 322 352	658588225412
STPT(10)	2216682209620812209	0 2 12 14 90 92 168 170 180 182	807944246592
SPT(16)	2216683174412720179	0 28 48 70 108 150 192 202 228 238 280 322 360 382 402 430	1772736154562
SPT(16)	2216683606480337339	0 48 104 114 122 132 140 200 342 402 410 420 428 438 494 542	2204803771722