Prime p₀= 2782718863553635211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2782718173516250909	0 2 42 44 60 62 78 80 102 104 162 164 168 170	-690037384302
SPT(16)	2782718183792389621	0 10 42 48 52 72 132 142 228 238 298 318 322 328 360 370	-679761245590
SPT(16)	2782718357756977177	0 24 40 76 90 136 250 256 300 306 420 466 480 516 532 556	-505796658034
STPT(10)	2782718378199797657	0 2 42 44 72 74 102 104 144 146	-485353837554
SPT(16)	2782718428207564697	0 14 30 90 110 132 140 152 162 174 182 204 224 284 300 314	-435346070514
SPT(16)	2782718549511789673	0 16 36 70 88 100 108 156 178 226 234 246 264 298 318 334	-314041845538
SPT(16)	2782718966316858133	0 6 70 76 138 168 190 210 256 276 298 328 390 396 460 466	102763222922
STPT(10)	2782719152717947109	0 2 18 20 30 32 42 44 60 62	289164311898
SPT(16)	2782719185228321453	0 44 156 186 200 210 228 246 248 266 284 294 308 338 450 494	321674686242
TPT(14)	2782719311776958009	0 2 240 242 318 320 372 374 408 410 432 434 450 452	448223322798
SPT(16)	2782719347390152123	0 136 154 174 178 244 246 258 316 328 330 396 400 420 438 574	483836516912