Prime p₀= 2325017566418842037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2325014714159308271	0 78 86 116 140 146 170 200 216 246 270 276 300 330 338 416	-2852259533766
SPT(16)	2325015286190665909	0 58 102 112 154 162 240 250 252 262 340 348 390 400 444 502	-2280228176128
SPT(16)	2325016100188610533	0 28 48 94 108 118 144 168 256 280 306 316 330 376 396 424	-1466230231504
STPT(10)	2325016303857395177	0 2 30 32 42 44 54 56 84 86	-1262561446860
SPT(16)	2325016408363344229	0 4 48 102 112 118 144 228 244 328 354 360 370 424 468 472	-1158055497808
SPT(16)	2325016949326624783	0 16 24 28 84 94 114 138 196 220 240 250 306 310 318 334	-617092217254
SPT(16)	2325018020848713569	0 2 12 14 44 68 78 92 120 134 144 168 198 200 210 212	454429871532
SPT(16)	2325018510971800663	0 24 34 108 120 126 148 210 214 276 298 304 316 390 400 424	944552958626
SPT(16)	2325019378526982043	0 30 34 40 58 64 90 154 210 274 300 306 324 330 334 364	1812108140006
STPT(10)	2325019549816957727	0 2 24 26 42 44 60 62 84 86	1983398115690
SPT(16)	2325019673751578789	0 14 24 30 60 62 72 102 110 140 150 152 182 188 198 212	2107332736752