Prime p₀= 2782681204318633529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2782680198413235271	0 76 210 216 312 328 336 372 406 442 450 466 562 568 702 778	-1005905398258
SPT(16)	2782680297807723959	0 38 98 104 150 164 192 204 218 230 258 272 318 324 384 422	-906510909570
STPT(10)	2782680340659376439	0 2 18 20 60 62 102 104 120 122	-863659257090
STPT(10)	2782680544133012177	0 2 12 14 72 74 132 134 144 146	-660185621352
STPT(10)	2782680613328012597	0 2 30 32 72 74 114 116 144 146	-590990620932
TPT(14)	2782680968127164579	0 2 12 14 210 212 222 224 252 254 312 314 432 434	-236191468950
STPT(10)	2782681957345977077	0 2 30 32 42 44 54 56 84 86	753027343548
STPT(10)	2782682165646850937	0 2 30 32 42 44 54 56 84 86	961328217408
SPT(16)	2782683598793202073	0 6 28 40 48 144 166 168 256 258 280 376 384 396 418 424	2394474568544
SPT(16)	2782684003992502487	0 42 44 66 86 122 152 164 282 294 324 360 380 402 404 446	2799673868958
SPT(16)	2782684319507367889	0 12 34 42 48 54 108 124 138 154 208 214 220 228 250 262	3115188734360