Prime p₀= 2367891591117359927 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 10 50 6 22 6 6 14 6 6 22 6 50 10 26 (?)
a_n: 0 26 36 86 92 114 120 126 140 146 152 174 180 230 240 266
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: ChUcK
db: batch=81, k=16, 26 10 50 6 22 6 6 14

SPT(16)	2367890330723105107	0 12 52 100 112 124 132 154 162 184 192 204 216 264 304 316	-1260394254820
STPT(10)	2367890543153767727	0 2 54 56 132 134 210 212 264 266	-1047963592200
SPT(16)	2367890830137917389	0 54 88 120 138 160 244 250 252 258 342 364 382 414 448 502	-760979442538
SPT(16)	2367891105846783697	0 4 10 22 34 52 60 102 154 196 204 222 234 246 252 256	-485270576230
SPT(16)	2367891239929296409	0 52 54 72 100 142 174 184 318 328 360 402 430 448 450 502	-351188063518
TPT(14)	2367891473601609827	0 2 42 44 54 56 84 86 132 134 144 146 210 212	-117515750100
SPT(16)	2367891592767148561	0 78 106 112 210 220 256 280 288 312 348 358 456 462 490 568	1649788634
TPT(14)	2367891688395886019	0 2 12 14 42 44 78 80 90 92 120 122 168 170	97278526092
STPT(10)	2367891785405093999	0 2 18 20 30 32 42 44 60 62	194287734072
SPT(16)	2367892071022104421	0 12 22 42 46 196 202 208 210 216 222 372 376 396 406 418	479904744494
STPT(10)	2367892197881587841	0 2 36 38 78 80 120 122 156 158	606764227914