Prime p₀= 2670879158245023137 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: suriv
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2670878495132379419	0 2 18 20 30 32 42 44 60 62	-663112643718
STPT(10)	2670878726509817639	0 2 48 50 90 92 132 134 180 182	-431735205498
STPT(10)	2670878912347207907	0 2 42 44 72 74 102 104 144 146	-245897815230
TPT(14)	2670878985332866991	0 2 156 158 210 212 216 218 270 272 300 302 336 338	-172912156146
STPT(10)	2670879035141474117	0 2 30 32 102 104 174 176 204 206	-123103549020
STPT(10)	2670879133321819499	0 2 48 50 60 62 72 74 120 122	-24923203638
STPT(12)	2670879338015858867	0 2 30 32 60 62 72 74 102 104 132 134	179770835730
SPT(16)	2670879724647472721	0 32 38 56 102 120 138 186 242 290 308 326 372 390 396 428	566402449584
SPT(16)	2670880152684290611	0 18 36 58 82 102 106 120 148 162 166 186 210 232 250 268	994439267474
STPT(10)	2670880206547043459	0 2 78 80 150 152 222 224 300 302	1048302020322
SPT(16)	2670880233174337531	0 28 46 58 72 76 78 118 210 250 252 256 270 282 300 328	1074929314394