Prime p₀= 2774570730612291407 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2774569287334073263	0 16 24 40 178 210 234 244 300 310 334 366 504 520 528 544	-1443278218144
STPT(10)	2774569360367592239	0 2 48 50 90 92 132 134 180 182	-1370244699168
SPT(16)	2774569442502671161	0 36 46 66 112 178 190 216 232 258 270 336 382 402 412 448	-1288109620246
SPT(16)	2774570438131159919	0 18 20 54 144 170 182 194 228 240 252 278 368 402 404 422	-292481131488
STPT(10)	2774570469540698417	0 2 30 32 42 44 54 56 84 86	-261071592990
STPT(10)	2774570674170950657	0 2 30 32 60 62 90 92 120 122	-56441340750
STPT(10)	2774570982333270941	0 2 6 8 18 20 30 32 36 38	251720979534
STPT(10)	2774571246042397127	0 2 60 62 72 74 84 86 144 146	515430105720
SPT(16)	2774571783749333627	0 72 80 86 90 96 134 180 206 252 290 296 300 306 314 386	1053137042220
SPT(16)	2774571793724173439	0 20 38 42 72 90 122 182 288 348 380 398 428 432 450 470	1063111882032
SPT(16)	2774572123639390799	0 20 30 32 54 72 92 98 174 180 200 218 240 242 252 272	1393027099392