Prime p₀= 2097823259896561397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: ChUcK
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2097821659388329913	0 20 30 44 78 108 194 210 218 234 320 350 384 398 408 428	-1600508231484
TPT(14)	2097822591480084377	0 2 54 56 60 62 102 104 234 236 264 266 294 296	-668416477020
SPT(16)	2097822769525742309	0 12 14 44 78 98 144 164 198 218 264 284 318 348 350 362	-490370819088
SPT(16)	2097822865054006681	0 42 78 82 112 120 138 162 208 232 250 258 288 292 328 370	-394842554716
SPT(13)	2097823012494437777	0 24 42 72 84 90 162 234 240 252 282 300 324	-247402123620
STPT(10)	2097823052193120689	0 2 48 50 90 92 132 134 180 182	-207703440708
SPT(16)	2097823341500547917	0 14 26 44 60 72 102 152 174 224 254 266 282 300 312 326	81603986520
SPT(16)	2097823355637056921	0 30 38 42 56 66 156 168 230 242 332 342 356 360 368 398	95740495524
TPT(14)	2097823726789992959	0 2 18 20 30 32 42 44 102 104 162 164 168 170	466893431562
STPT(10)	2097823905491177189	0 2 18 20 30 32 42 44 60 62	645594615792
SPT(16)	2097824312558388341	0 30 78 146 176 228 266 270 296 300 338 390 420 488 536 566	1052661826944