Prime p₀= 2274838863768029747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2274837607226543417	0 56 66 116 132 156 170 174 182 186 200 224 240 290 300 356	-1256541486330
STPT(10)	2274837946926324419	0 2 12 14 90 92 168 170 180 182	-916841705328
SPT(16)	2274838060160909587	0 24 64 66 70 112 154 210 256 312 354 396 400 402 442 466	-803607120160
TPT(14)	2274838378840674587	0 2 24 26 54 56 90 92 252 254 264 266 330 332	-484927355160
STPT(10)	2274838455928391201	0 2 36 38 78 80 120 122 156 158	-407839638546
STPT(10)	2274838808201864867	0 2 30 32 42 44 54 56 84 86	-55566164880
STPT(10)	2274838913671210877	0 2 12 14 42 44 72 74 84 86	49903181130
SPT(16)	2274839260329231131	0 20 32 42 116 132 236 240 338 342 446 462 536 546 558 578	396561201384
SPT(16)	2274839380938206707	0 10 22 42 102 120 130 144 160 174 184 202 262 282 294 304	517170176960
STPT(10)	2274839559790354757	0 2 54 56 72 74 90 92 144 146	696022325010
TPT(14)	2274839755694514917	0 2 30 32 54 56 60 62 72 74 240 242 390 392	891926485170