Prime p₀= 1245174568385548217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Megacruncher
db: batch=77, k=10, 2 82 2 46 2

STPT(10)	1245173978900708951	0 2 6 8 48 50 90 92 96 98	-589484839266
STPT(10)	1245174093658793117	0 2 30 32 42 44 54 56 84 86	-474726755100
TPT(14)	1245174199277085617	0 2 24 26 114 116 150 152 204 206 222 224 234 236	-369108462600
SPT(16)	1245174214708267397	0 14 42 80 92 102 126 222 224 320 344 354 366 404 432 446	-353677280820
SPT(16)	1245174359443479887	0 44 66 114 120 156 230 234 266 270 344 380 386 434 456 500	-208942068330
SPT(16)	1245174434446758859	0 42 70 108 112 138 148 220 240 312 322 348 352 390 418 460	-133938789358
STPT(10)	1245174609004367939	0 2 18 20 60 62 102 104 120 122	40618819722
STPT(10)	1245174611926584959	0 2 42 44 90 92 138 140 180 182	43541036742
SPT(16)	1245174731835502333	0 4 6 48 64 76 88 106 108 126 138 150 166 208 210 214	163449954116
STPT(10)	1245174965917471997	0 2 42 44 72 74 102 104 144 146	397531923780
SPT(16)	1245175135148164447	0 42 132 166 196 234 252 262 264 274 292 330 360 394 484 526	566762616230