Prime p₀= 2309952310811006357 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2309951093126747167	0 40 42 82 126 160 192 250 336 394 426 460 504 544 546 586	-1217684259190
SPT(16)	2309951109992109799	0 42 54 64 78 88 102 172 270 340 354 364 378 388 400 442	-1200818896558
STPT(10)	2309951260677661397	0 2 24 26 42 44 60 62 84 86	-1050133344960
SPT(18)	2309951364666585467	0 6 36 62 72 84 90 126 182 204 260 296 302 314 324 350 380 386	-946144420890
SPT(16)	2309951531267010017	0 6 44 50 56 80 90 92 114 116 126 150 156 162 200 206	-779543996340
STPT(10)	2309951906323392767	0 2 42 44 72 74 102 104 144 146	-404487613590
STPT(10)	2309952442121109827	0 2 30 32 42 44 54 56 84 86	131310103470
STPT(10)	2309952877390439777	0 2 12 14 42 44 72 74 84 86	566579433420
SPT(16)	2309952918454476091	0 90 142 150 210 216 238 258 280 300 322 328 388 396 448 538	607643469734
STPT(10)	2309952940610803721	0 2 36 38 78 80 120 122 156 158	629799797364
SPT(16)	2309953186429701151	0 6 16 30 58 66 78 106 162 190 202 210 238 252 262 268	875618694794