Prime p₀= 816356578170881777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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]FX
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	816355706403705497	0 2 30 32 42 44 54 56 84 86	-871767176280
TPT(14)	816355707779673401	0 2 90 92 138 140 390 392 480 482 558 560 618 620	-870391208376
STPT(10)	816355785415834709	0 2 42 44 90 92 138 140 180 182	-792755047068
SPT(16)	816355972949155567	0 22 36 60 64 70 76 82 84 90 96 102 106 130 144 166	-605221726210
SPT(16)	816356223616943557	0 6 22 94 126 162 172 210 346 384 394 430 462 534 550 556	-354553938220
SPT(16)	816356314134523237	0 6 10 12 52 126 130 132 214 216 220 294 334 336 340 346	-264036358540
SPT(16)	816356876104920793	0 18 34 40 96 108 130 156 238 264 286 298 354 360 376 394	297934039016
SPT(16)	816356980478852291	0 12 48 96 138 162 180 198 230 248 266 290 332 380 416 428	402307970514
STPT(10)	816356982017234687	0 2 12 14 42 44 72 74 84 86	403846352910
SPT(16)	816357142411464989	0 80 84 90 140 170 180 192 230 242 252 282 332 338 342 422	564240583212
SPT(16)	816357341033320409	0 12 24 72 108 120 134 144 218 228 242 254 290 338 350 362	762862438632