Prime p₀= 3879059393913311519 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: Conan
db: batch=84, k=10, 2 16 2 10 2

TPT(14)	3879058705849808189	0 2 60 62 78 80 120 122 198 200 282 284 288 290	-688063503330
SPT(16)	3879058750341666181	0 42 72 96 108 162 168 180 208 220 226 280 292 316 346 388	-643571645338
STPT(10)	3879058918400859629	0 2 42 44 60 62 78 80 120 122	-475512451890
SPT(16)	3879058998049932617	0 42 50 74 174 186 200 216 230 246 260 272 372 396 404 446	-395863378902
SPT(16)	3879059004124305613	0 6 66 100 160 166 178 240 286 348 360 366 426 460 520 526	-389789005906
STPT(10)	3879059090175919577	0 2 42 44 72 74 102 104 144 146	-303737391942
SPT(16)	3879059857584784801	0 12 22 78 90 102 148 168 172 192 238 250 262 318 328 340	463671473282
STPT(10)	3879059958479909387	0 2 30 32 60 62 90 92 120 122	564566597868
SPT(16)	3879059979152081953	0 34 40 54 66 106 120 130 210 220 234 274 286 300 306 340	585238770434
SPT(16)	3879060010043669753	0 14 54 56 98 126 186 224 330 368 428 456 498 500 540 554	616130358234
STPT(10)	3879060277589597897	0 2 24 26 42 44 60 62 84 86	883676286378