Prime p₀= 2356781686580190971 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: arkiss
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2356780459180239649	0 78 102 120 144 168 232 280 342 390 454 478 502 520 544 622	-1227399951322
STPT(10)	2356780696905292919	0 2 18 20 30 32 42 44 60 62	-989674898052
SPT(16)	2356781137185673591	0 28 52 60 82 112 162 172 186 196 246 276 298 306 330 358	-549394517380
SPT(16)	2356781362129790329	0 12 28 54 70 112 114 138 214 238 240 282 298 324 340 352	-324450400642
STPT(10)	2356781609054212127	0 2 60 62 72 74 84 86 144 146	-77525978844
STPT(10)	2356781669165388761	0 2 6 8 18 20 30 32 36 38	-17414802210
STPT(10)	2356781756851695539	0 2 42 44 60 62 78 80 120 122	70271504568
STPT(10)	2356781854562662997	0 2 30 32 42 44 54 56 84 86	167982472026
SPT(16)	2356781861606387933	0 26 56 78 84 90 128 134 180 186 224 230 236 258 288 314	175026196962
SPT(16)	2356782119199399653	0 24 26 90 110 128 156 164 300 308 336 354 374 438 440 464	432619208682
TPT(14)	2356782216522127547	0 2 72 74 114 116 294 296 390 392 420 422 504 506	529941936576