Prime p₀= 2751085124494966937 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: Roadranner
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2751084381131572753	0 4 28 78 100 114 144 156 178 190 220 234 256 306 330 334	-743363394184
TPT(14)	2751084453003205589	0 2 12 14 18 20 282 284 342 344 408 410 420 422	-671491761348
STPT(10)	2751084519104129471	0 2 6 8 48 50 90 92 96 98	-605390837466
SPT(16)	2751084618369241613	0 96 104 140 186 216 224 236 378 390 398 428 474 510 518 614	-506125725324
SPT(16)	2751084619225311637	0 10 24 34 60 100 102 142 204 244 246 286 312 322 336 346	-505269655300
SPT(18)	2751084706855481327	0 44 104 146 276 290 324 350 354 422 426 452 486 500 630 672 732 776	-417639485610
SPT(16)	2751085969907636447	0 6 36 42 62 72 114 126 170 182 224 234 254 260 290 296	845412669510
STPT(10)	2751086071869704159	0 2 42 44 90 92 138 140 180 182	947374737222
STPT(10)	2751086126054695997	0 2 12 14 42 44 72 74 84 86	1001559729060
SPT(16)	2751086578145922337	0 10 16 34 54 70 90 100 126 136 156 172 192 210 216 226	1453650955400
STPT(10)	2751086655245233841	0 2 6 8 48 50 90 92 96 98	1530750266904