Prime p₀= 2339773083279275429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: fix
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2339771483353533869	0 2 48 50 90 92 132 134 180 182	-1599925741560
STPT(10)	2339771780836298351	0 2 6 8 48 50 90 92 96 98	-1302442977078
SPT(16)	2339771832545407961	0 8 50 56 78 86 98 116 180 198 210 218 240 246 288 296	-1250733867468
STPT(10)	2339772035022400871	0 2 6 8 48 50 90 92 96 98	-1048256874558
SPT(16)	2339772225866551351	0 36 58 78 156 198 240 310 336 406 448 490 568 588 610 646	-857412724078
STPT(10)	2339772885736316081	0 2 6 8 18 20 30 32 36 38	-197542959348
STPT(10)	2339773456349116817	0 2 30 32 42 44 54 56 84 86	373069841388
STPT(10)	2339773522287030881	0 2 6 8 18 20 30 32 36 38	439007755452
SPT(13)	2339773545497432087	0 42 60 66 72 120 156 192 240 246 252 270 312	462218156658
STPT(10)	2339773871545512299	0 2 42 44 60 62 78 80 120 122	788266236870
SPT(16)	2339773911582194489	0 24 30 68 84 90 110 122 240 252 272 278 294 332 338 362	828302919060