Prime p₀= 2356781854562662997 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

SPT(16)	2356781137185673591	0 28 52 60 82 112 162 172 186 196 246 276 298 306 330 358	-717376989406
SPT(16)	2356781362129790329	0 12 28 54 70 112 114 138 214 238 240 282 298 324 340 352	-492432872668
STPT(10)	2356781609054212127	0 2 60 62 72 74 84 86 144 146	-245508450870
STPT(10)	2356781669165388761	0 2 6 8 18 20 30 32 36 38	-185397274236
STPT(10)	2356781686580190971	0 2 6 8 48 50 90 92 96 98	-167982472026
STPT(10)	2356781756851695539	0 2 42 44 60 62 78 80 120 122	-97710967458
SPT(16)	2356781861606387933	0 26 56 78 84 90 128 134 180 186 224 230 236 258 288 314	7043724936
SPT(16)	2356782119199399653	0 24 26 90 110 128 156 164 300 308 336 354 374 438 440 464	264636736656
TPT(14)	2356782216522127547	0 2 72 74 114 116 294 296 390 392 420 422 504 506	361959464550
STPT(10)	2356782376028649377	0 2 30 32 42 44 54 56 84 86	521465986380
SPT(16)	2356782721791935911	0 18 60 118 126 136 220 222 286 288 372 382 390 448 490 508	867229272914