Prime p₀= 2097905719647885461 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: Landjunge
db: batch=80, k=10, 2 64 2 70 2

SPT(16)	2097903819111981037	0 6 16 22 94 132 154 160 276 282 304 342 414 420 430 436	-1900535904424
SPT(16)	2097904170837155881	0 6 16 72 102 126 162 186 256 280 316 340 370 426 436 442	-1548810729580
SPT(16)	2097904405531794319	0 52 78 144 148 150 172 174 208 210 232 234 238 304 330 382	-1314116091142
SPT(16)	2097905127635646767	0 12 14 194 204 210 246 252 254 260 296 302 312 492 494 506	-592012238694
SPT(16)	2097905181137014043	0 18 26 48 54 60 116 126 188 198 254 260 266 288 296 314	-538510871418
SPT(16)	2097905403076801907	0 44 72 164 182 210 222 240 344 362 374 402 420 512 540 584	-316571083554
STPT(12)	2097907464338388551	0 2 60 62 90 92 156 158 186 188 246 248	1744690503090
SPT(16)	2097908123207991671	0 36 80 96 126 152 206 210 218 222 276 302 332 348 392 428	2403560106210
STPT(10)	2097908187073438601	0 2 120 122 138 140 156 158 276 278	2467425553140
STPT(10)	2097908273217513851	0 2 6 8 48 50 90 92 96 98	2553569628390
STPT(10)	2097908414381349749	0 2 12 14 90 92 168 170 180 182	2694733464288