Prime p₀= 2796896072978184407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2796895007774343017	0 26 54 66 80 132 164 266 300 402 434 486 500 512 540 566	-1065203841390
SPT(16)	2796895028953761559	0 42 52 82 120 180 204 208 234 238 262 322 360 390 400 442	-1044024422848
STPT(10)	2796895550722710131	0 2 36 38 78 80 120 122 156 158	-522255474276
STPT(10)	2796895600769248877	0 2 42 44 132 134 222 224 264 266	-472208935530
TPT(14)	2796895680264644051	0 2 18 20 60 62 120 122 156 158 186 188 240 242	-392713540356
STPT(10)	2796895985769988559	0 2 30 32 120 122 210 212 240 242	-87208195848
STPT(10)	2796896730405005687	0 2 30 32 42 44 54 56 84 86	657426821280
SPT(16)	2796896817575788357	0 30 40 42 52 106 124 156 190 222 240 294 304 306 316 346	744597603950
TPT(16)	2796896818009901951	0 2 66 68 78 80 120 122 156 158 210 212 240 242 246 248	745031717544
STPT(10)	2796896930135033819	0 2 18 20 30 32 42 44 60 62	857156849412
SPT(16)	2796897070434728381	0 42 50 60 128 176 200 228 260 288 312 360 428 438 446 488	997456543974