Prime p₀= 2367891785405093999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: ChUcK
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2367891105846783697	0 4 10 22 34 52 60 102 154 196 204 222 234 246 252 256	-679558310302
SPT(16)	2367891239929296409	0 52 54 72 100 142 174 184 318 328 360 402 430 448 450 502	-545475797590
TPT(14)	2367891473601609827	0 2 42 44 54 56 84 86 132 134 144 146 210 212	-311803484172
SPT(16)	2367891591117359927	0 26 36 86 92 114 120 126 140 146 152 174 180 230 240 266	-194287734072
SPT(16)	2367891592767148561	0 78 106 112 210 220 256 280 288 312 348 358 456 462 490 568	-192637945438
TPT(14)	2367891688395886019	0 2 12 14 42 44 78 80 90 92 120 122 168 170	-97009207980
SPT(16)	2367892071022104421	0 12 22 42 46 196 202 208 210 216 222 372 376 396 406 418	285617010422
STPT(10)	2367892197881587841	0 2 36 38 78 80 120 122 156 158	412476493842
STPT(10)	2367892453837945217	0 2 30 32 42 44 54 56 84 86	668432851218
STPT(10)	2367892519562530781	0 2 6 8 18 20 30 32 36 38	734157436782
SPT(16)	2367892600973687063	0 8 30 56 84 108 156 168 176 188 236 260 288 314 336 344	815568593064