Prime p₀= 2370407658559935497 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: [AF>Amis des Lapins] Fredjke
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2370406666120803367	0 36 72 154 156 162 180 184 252 256 274 280 282 364 400 436	-992439132130
SPT(16)	2370406793157925633	0 18 24 28 34 40 60 70 114 124 144 150 156 160 166 184	-865402009864
TPT(14)	2370407016862256399	0 2 210 212 318 320 360 362 390 392 420 422 432 434	-641697679098
SPT(16)	2370407292345069581	0 30 32 38 48 90 120 132 158 170 200 242 252 258 260 290	-366214865916
SPT(16)	2370407390058796477	0 30 42 102 114 120 132 190 306 364 376 382 394 454 466 496	-268501139020
SPT(16)	2370407526262816759	0 112 120 148 162 190 192 214 228 250 252 280 294 322 330 442	-132297118738
SPT(16)	2370408788198662249	0 30 42 58 70 82 178 184 258 264 360 372 384 400 412 442	1129638726752
SPT(16)	2370408860542539343	0 46 76 120 154 178 184 198 316 330 336 360 394 438 468 514	1201982603846
SPT(16)	2370409086160026971	0 2 68 120 152 170 182 192 236 246 258 276 308 360 426 428	1427600091474
SPT(16)	2370409148564216953	0 18 46 100 138 144 156 196 198 238 250 256 294 348 376 394	1490004281456
STPT(10)	2370409152434032277	0 2 12 14 42 44 72 74 84 86	1493874096780