Prime p₀= 2396114808960853889 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Coleslaw
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2396114074997168891	0 2 30 32 78 80 126 128 156 158	-733963684998
STPT(10)	2396114241600525791	0 2 36 38 78 80 120 122 156 158	-567360328098
SPT(16)	2396114274770539447	0 34 40 76 94 106 120 166 174 220 234 246 264 300 306 340	-534190314442
STPT(10)	2396114362685127311	0 2 78 80 108 110 138 140 216 218	-446275726578
SPT(16)	2396114607444080153	0 8 30 44 74 120 134 138 140 144 158 204 234 248 270 278	-201516773736
TPT(14)	2396114634548597759	0 2 30 32 102 104 108 110 240 242 420 422 588 590	-174412256130
STPT(10)	2396114894534561969	0 2 18 20 30 32 42 44 60 62	85573708080
STPT(10)	2396115024511884407	0 2 30 32 42 44 54 56 84 86	215551030518
SPT(16)	2396115313141673209	0 10 34 42 48 52 60 94 108 142 150 154 160 168 192 202	504180819320
STPT(10)	2396115519593333567	0 2 30 32 42 44 54 56 84 86	710632479678
STPT(10)	2396115654766364801	0 2 6 8 48 50 90 92 96 98	845805510912