Prime p₀= 2351564367672004127 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: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2351562790419551087	0 30 32 36 56 60 86 134 162 210 236 240 260 264 266 296	-1577252453040
STPT(10)	2351562811716159779	0 2 12 14 90 92 168 170 180 182	-1555955844348
TPT(14)	2351563078322246729	0 2 78 80 90 92 222 224 330 332 348 350 402 404	-1289349757398
SPT(16)	2351563430314917211	0 40 66 96 142 156 162 186 316 340 346 360 406 436 462 502	-937357086916
SPT(16)	2351563549028310901	0 42 48 70 130 138 142 148 180 186 190 198 258 280 286 328	-818643693226
SPT(16)	2351563793900394277	0 36 64 72 100 102 120 180 196 256 274 276 304 312 340 376	-573771609850
SPT(16)	2351564752527704983	0 10 24 34 64 100 126 154 156 184 210 246 276 286 300 310	384855700856
STPT(10)	2351564757388604939	0 2 18 20 30 32 42 44 60 62	389716600812
STPT(10)	2351564777859236897	0 2 24 26 42 44 60 62 84 86	410187232770
STPT(10)	2351565160118896637	0 2 24 26 42 44 60 62 84 86	792446892510
STPT(12)	2351565247721951291	0 2 60 62 90 92 156 158 186 188 246 248	880049947164