Prime p₀= 2723217383316076877 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

SPT(16)	2723215275279016087	0 12 30 70 114 120 126 150 166 190 196 202 246 286 304 316	-2108037060790
SPT(20)	2723215913898459961	0 36 60 90 100 102 120 130 150 168 220 238 258 268 286 288 298 328 352 388	-1469417616916
SPT(16)	2723216405751309619	0 54 60 84 100 130 132 180 244 292 294 324 340 364 370 424	-977564767258
SPT(16)	2723216410057305559	0 34 64 94 102 118 144 154 168 178 204 220 228 258 288 322	-973258771318
TPT(14)	2723216926043213771	0 2 78 80 90 92 150 152 216 218 306 308 318 320	-457272863106
SPT(18)	2723217022594950941	0 38 50 68 72 90 98 170 206 222 258 330 338 356 360 378 390 428	-360721125936
SPT(16)	2723217775429134829	0 18 42 52 58 88 118 124 228 234 264 294 300 310 334 352	392113057952
SPT(16)	2723217822798299921	0 2 72 90 120 156 176 230 318 372 392 428 458 476 546 548	439482223044
SPT(16)	2723218214338719491	0 30 50 56 102 182 188 210 248 270 276 356 402 408 428 458	831022642614
STPT(10)	2723218885251683627	0 2 30 32 42 44 54 56 84 86	1501935606750
STPT(10)	2723219020121849069	0 2 42 44 60 62 78 80 120 122	1636805772192