Prime p₀= 2396904884649023207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2396903529977321731	0 46 48 58 60 108 130 156 190 216 238 286 288 298 300 346	-1354671701476
STPT(10)	2396903915475525887	0 2 30 32 72 74 114 116 144 146	-969173497320
SPT(16)	2396903940897929063	0 86 90 98 156 174 194 210 284 300 320 338 396 404 408 494	-943751094144
SPT(16)	2396904119487957307	0 22 34 72 82 142 196 202 204 210 264 324 334 372 384 406	-765161065900
STPT(10)	2396904161804783747	0 2 30 32 42 44 54 56 84 86	-722844239460
STPT(10)	2396904418389553559	0 2 48 50 90 92 132 134 180 182	-466259469648
STPT(10)	2396904905042225267	0 2 30 32 42 44 54 56 84 86	20393202060
STPT(10)	2396905382801529527	0 2 12 14 72 74 132 134 144 146	498152506320
SPT(16)	2396905661618317877	0 2 24 30 80 84 86 110 126 150 152 156 206 212 234 236	776969294670
SPT(16)	2396905853980723993	0 10 40 76 90 174 186 204 220 238 250 334 348 384 414 424	969331700786
SPT(16)	2396905901430770767	0 4 6 36 60 70 90 114 202 226 246 256 280 310 312 316	1016781747560