Prime p₀= 2356782376028649377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: arkiss
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2356781686580190971	0 2 6 8 48 50 90 92 96 98	-689448458406
STPT(10)	2356781756851695539	0 2 42 44 60 62 78 80 120 122	-619176953838
STPT(10)	2356781854562662997	0 2 30 32 42 44 54 56 84 86	-521465986380
SPT(16)	2356781861606387933	0 26 56 78 84 90 128 134 180 186 224 230 236 258 288 314	-514422261444
SPT(16)	2356782119199399653	0 24 26 90 110 128 156 164 300 308 336 354 374 438 440 464	-256829249724
TPT(14)	2356782216522127547	0 2 72 74 114 116 294 296 390 392 420 422 504 506	-159506521830
SPT(16)	2356782721791935911	0 18 60 118 126 136 220 222 286 288 372 382 390 448 490 508	345763286534
SPT(16)	2356783003508340409	0 34 58 142 150 160 162 168 184 190 192 202 210 294 318 352	627479691032
STPT(10)	2356783257520818947	0 2 30 32 120 122 210 212 240 242	881492169570
STPT(10)	2356783607432516147	0 2 30 32 72 74 114 116 144 146	1231403866770
STPT(10)	2356783978607542571	0 2 6 8 48 50 90 92 96 98	1602578893194