Prime p₀= 2306811149775572507 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2306809451577038027	0 2 42 44 72 74 102 104 144 146	-1698198534480
STPT(10)	2306809654510093037	0 2 30 32 42 44 54 56 84 86	-1495265479470
STPT(10)	2306809687618432457	0 2 24 26 42 44 60 62 84 86	-1462157140050
SPT(16)	2306809999527393317	0 42 60 66 72 80 86 126 266 306 312 320 326 332 350 392	-1150248179190
STPT(10)	2306810091331880801	0 2 6 8 18 20 30 32 36 38	-1058443691706
SPT(16)	2306810546998287569	0 18 42 54 110 180 204 248 264 308 332 402 458 470 494 512	-602777284938
TPT(14)	2306811273246739157	0 2 90 92 150 152 162 164 174 176 222 224 252 254	123471166650
STPT(10)	2306811384777805847	0 2 30 32 42 44 54 56 84 86	235002233340
SPT(16)	2306811450330984797	0 56 90 96 102 126 140 144 182 186 200 224 230 236 270 326	300555412290
SPT(16)	2306811552081927431	0 38 50 60 66 80 90 92 156 158 168 182 188 198 210 248	402306354924
SPT(16)	2306811834286815547	0 24 42 54 70 84 112 154 180 222 250 264 280 292 310 334	684511243040