Prime p₀= 2310619355802298361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: FritzB
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2310617337044538419	0 2 18 20 30 32 42 44 60 62	-2018757759942
SPT(20)	2310617620620330761	0 6 32 56 80 90 132 188 210 242 336 368 390 446 488 498 522 546 572 578	-1735181967600
STPT(10)	2310617885555823209	0 2 42 44 60 62 78 80 120 122	-1470246475152
SPT(16)	2310618017590525219	0 22 40 52 84 100 108 114 148 154 162 178 210 222 240 262	-1338211773142
STPT(10)	2310619111897719317	0 2 30 32 60 62 90 92 120 122	-243904579044
TPT(14)	2310619164628512341	0 2 30 32 36 38 48 50 156 158 198 200 240 242	-191173786020
SPT(16)	2310619441412011291	0 16 28 42 66 70 72 78 100 106 108 112 136 150 162 178	85609712930
SPT(16)	2310619571745108553	0 40 46 70 96 138 180 196 210 226 268 310 336 360 366 406	215942810192
TPT(14)	2310620563102922051	0 2 210 212 246 248 288 290 330 332 450 452 456 458	1207300623690
SPT(16)	2310620793802066901	0 2 18 30 38 72 80 168 242 330 338 372 380 392 408 410	1437999768540
SPT(16)	2310621120486744577	0 36 40 70 102 106 130 142 210 222 246 250 282 312 316 352	1764684446216