Prime p₀= 2412576762095870309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2412575784846095321	0 12 26 56 62 78 96 102 176 182 200 216 222 252 266 278	-977249774988
SPT(16)	2412575938422672359	0 8 18 32 42 108 110 138 164 192 194 260 270 284 294 302	-823673197950
STPT(12)	2412576040029156899	0 2 18 20 42 44 78 80 102 104 120 122	-722066713410
SPT(16)	2412576053484901943	0 44 84 90 146 170 176 204 266 294 300 324 380 386 426 470	-708610968366
SPT(16)	2412576444932503363	0 34 40 48 54 154 166 238 306 378 390 490 496 504 510 544	-317163366946
STPT(10)	2412576594355726427	0 2 30 32 72 74 114 116 144 146	-167740143882
STPT(10)	2412576844494758231	0 2 108 110 138 140 168 170 276 278	82398887922
STPT(10)	2412576979332449087	0 2 30 32 72 74 114 116 144 146	217236578778
SPT(16)	2412577045813330849	0 12 22 52 112 190 204 208 234 238 252 330 390 420 430 442	283717460540
SPT(16)	2412577150929847729	0 28 64 70 100 120 154 174 304 324 358 378 408 414 450 478	388833977420
TPT(14)	2412577386412484561	0 2 90 92 96 98 138 140 156 158 216 218 270 272	624316614252