Prime p₀= 795867452359499459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Theadalus
db: batch=73, k=10, 2 28 2 88 2

SPT(16)	795866814895382201	0 26 32 86 116 140 180 212 240 272 312 336 366 420 426 452	-637464117258
SPT(18)	795866877241773691	0 58 78 90 112 142 148 162 180 190 208 222 228 258 280 292 312 370	-575117725768
STPT(10)	795867210654158021	0 2 36 38 78 80 120 122 156 158	-241705341438
STPT(12)	795867387082334261	0 2 30 32 36 38 120 122 126 128 156 158	-65277165198
SPT(16)	795867395012863399	0 18 78 114 150 154 168 178 210 220 234 238 274 310 370 388	-57346636060
SPT(16)	795867448823231527	0 12 22 30 36 42 64 66 70 72 94 100 106 114 124 136	-3536267932
STPT(10)	795867530000174477	0 2 24 26 42 44 60 62 84 86	77640675018
STPT(10)	795867609348786851	0 2 30 32 60 62 90 92 120 122	156989287392
STPT(10)	795868156586956001	0 2 6 8 48 50 90 92 96 98	704227456542
SPT(16)	795868184299744961	0 12 20 38 62 126 140 168 170 198 212 276 300 318 326 338	731940245502
TPT(14)	795868320436319237	0 2 30 32 72 74 90 92 162 164 174 176 312 314	868076819778