Prime p₀= 2544209023281596441 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Penguin
db: batch=82, k=10, 2 64 2 70 2

STPT(10)	2544206444510317751	0 2 66 68 108 110 150 152 216 218	-2578771278690
STPT(10)	2544206751338895077	0 2 30 32 120 122 210 212 240 242	-2271942701364
SPT(16)	2544207180330644531	0 20 30 50 68 86 96 126 182 212 222 240 258 278 288 308	-1842950951910
SPT(16)	2544207421098680269	0 10 18 34 52 60 130 174 238 282 352 360 378 394 402 412	-1602182916172
SPT(16)	2544208533524478823	0 48 78 100 114 168 216 228 256 268 316 370 384 406 436 484	-489757117618
SPT(16)	2544208995195326869	0 4 18 22 72 82 132 174 238 280 330 340 390 394 408 412	-28086269572
STPT(10)	2544209528528097797	0 2 54 56 132 134 210 212 264 266	505246501356
SPT(16)	2544210005639276251	0 12 16 36 40 70 82 90 112 120 132 162 166 186 190 202	982357679810
SPT(16)	2544210314163693313	0 36 40 48 78 90 106 168 208 270 286 298 328 336 340 376	1290882096872
STPT(10)	2544210551836974857	0 2 12 14 72 74 132 134 144 146	1528555378416
SPT(16)	2544210602046023621	0 8 36 116 128 138 140 162 176 198 200 210 222 302 330 338	1578764427180