Prime p₀= 1127314833383156711 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: crashtech
db: batch=76, k=10, 2 64 2 70 2

SPT(16)	1127311969479599011	0 6 10 76 78 96 118 120 166 168 190 208 210 276 280 286	-2863903557700
SPT(16)	1127312438197219349	0 8 38 60 62 78 84 104 138 158 164 180 182 204 234 242	-2395185937362
SPT(16)	1127312556390035293	0 54 64 108 120 154 208 238 270 300 354 388 400 444 454 508	-2276993121418
STPT(10)	1127313548258872061	0 2 6 8 48 50 90 92 96 98	-1285124284650
TPT(14)	1127314321610730359	0 2 72 74 78 80 120 122 138 140 192 194 198 200	-511772426352
SPT(16)	1127314735318074343	0 6 18 28 36 40 130 264 280 414 504 508 516 526 538 544	-98065082368
SPT(16)	1127314979870038871	0 20 42 132 140 162 168 198 260 290 296 318 326 416 438 458	146486882160
TPT(14)	1127315122269209219	0 2 12 14 78 80 90 92 108 110 162 164 342 344	288886052508
SPT(16)	1127315346297614281	0 10 52 66 82 100 112 120 322 330 342 360 376 390 432 442	512914457570
SPT(16)	1127315561240072629	0 12 42 88 120 138 172 190 192 210 244 262 294 340 370 382	727856915918
STPT(10)	1127315736520345199	0 2 42 44 60 62 78 80 120 122	903137188488