Prime p₀= 1427251501603239251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=78, k=10, 2 34 2 40 2

STPT(10)	1427249468558606981	0 2 36 38 78 80 120 122 156 158	-2033044632270
STPT(10)	1427250039956796617	0 2 42 44 72 74 102 104 144 146	-1461646442634
SPT(16)	1427250313255866439	0 22 72 88 118 120 172 204 238 270 322 324 354 370 420 442	-1188347372812
SPT(16)	1427250398147748583	0 10 28 70 78 106 136 138 166 168 198 226 234 276 294 304	-1103455490668
STPT(10)	1427250610922464241	0 2 138 140 168 170 198 200 336 338	-890680775010
SPT(16)	1427250641648596717	0 24 30 54 120 144 156 210 250 304 316 340 406 430 436 460	-859954642534
STPT(10)	1427252124175766477	0 2 30 32 42 44 54 56 84 86	622572527226
SPT(16)	1427252276963313643	0 24 64 66 76 150 156 160 234 238 244 318 328 330 370 394	775360074392
STPT(10)	1427252856106698317	0 2 30 32 72 74 114 116 144 146	1354503459066
SPT(16)	1427253046286082161	0 60 132 138 156 180 216 222 326 332 368 392 410 416 488 548	1544682842910
STPT(12)	1427253358281086879	0 2 12 14 30 32 72 74 90 92 102 104	1856677847628