Prime p₀= 2727837708105787577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

TPT(14)	2727836435253393041	0 2 138 140 156 158 180 182 186 188 336 338 420 422	-1272852394536
SPT(16)	2727836480145704423	0 6 48 74 96 138 140 228 236 324 326 368 390 416 458 464	-1227960083154
SPT(16)	2727836972940629089	0 70 100 154 172 184 190 238 324 372 378 390 408 462 492 562	-735165158488
SPT(16)	2727837046452502331	0 36 42 110 116 158 180 182 216 218 240 282 288 356 362 398	-661653285246
STPT(10)	2727837239857627031	0 2 66 68 138 140 210 212 276 278	-468248160546
STPT(10)	2727837512432416169	0 2 30 32 60 62 90 92 120 122	-195673371408
STPT(10)	2727837897549976997	0 2 30 32 60 62 90 92 120 122	189444189420
STPT(10)	2727838019082365009	0 2 42 44 60 62 78 80 120 122	310976577432
SPT(16)	2727838397229707089	0 12 40 42 48 72 138 168 172 202 268 292 298 300 328 340	689123919512
SPT(16)	2727838783114136851	0 42 46 52 60 82 130 148 150 168 216 238 246 252 256 298	1075008349274
SPT(16)	2727839017710747427	0 12 36 106 126 156 160 232 264 336 340 370 390 460 484 496	1309604959850