Prime p₀= 1231553162213465867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: biodoc
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1231552470255138817	0 36 112 186 240 246 316 340 426 450 520 526 580 654 730 766	-691958327050
SPT(16)	1231552786239229639	0 54 100 108 120 124 138 174 184 220 234 238 250 258 304 358	-375974236228
SPT(16)	1231552922688677773	0 6 130 136 174 216 220 244 246 270 274 316 354 360 484 490	-239524788094
SPT(16)	1231552954009227919	0 4 10 12 24 60 88 172 180 264 292 328 340 342 348 352	-208204237948
SPT(16)	1231552996600065037	0 30 100 112 114 126 150 184 192 226 250 262 264 276 346 376	-165613400830
SPT(16)	1231553147919836501	0 6 18 30 60 90 92 102 116 126 128 158 188 200 212 218	-14293629366
STPT(10)	1231553329394624627	0 2 30 32 42 44 54 56 84 86	167181158760
STPT(10)	1231553461471660487	0 2 30 32 42 44 54 56 84 86	299258194620
SPT(16)	1231553696658576581	0 30 36 66 96 110 122 146 156 180 192 206 236 266 272 302	534445110714
SPT(16)	1231553702892849047	0 20 32 56 62 74 116 144 182 210 252 264 270 294 306 326	540679383180
SPT(16)	1231554033353897921	0 38 48 62 72 110 140 258 272 390 420 458 468 482 492 530	871140432054