Prime p₀= 3006666574167272207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 58 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 162 164 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 58 2

SPT(16)	3006663561215490053	0 8 20 36 50 78 80 104 150 174 176 204 218 234 246 254	-3012951782154
SPT(18)	3006664110431091449	0 42 50 62 84 132 174 182 188 234 240 248 290 338 360 372 380 422	-2463736180758
TPT(14)	3006664330507183637	0 2 42 44 174 176 210 212 282 284 300 302 354 356	-2243660088570
SPT(16)	3006664544058451147	0 6 70 72 76 172 190 196 216 222 240 336 340 342 406 412	-2030108821060
SPT(16)	3006665272220779343	0 18 30 44 66 74 128 180 254 306 360 368 390 404 416 434	-1301946492864
SPT(16)	3006666253421134181	0 50 56 66 80 146 180 192 236 248 282 348 362 372 378 428	-320746138026
SPT(16)	3006666743668675117	0 6 10 34 52 64 184 240 316 372 492 504 522 546 550 556	169501402910
STPT(10)	3006666903173000657	0 2 42 44 72 74 102 104 144 146	329005728450
SPT(16)	3006667109905453457	0 12 24 50 60 110 144 162 242 260 294 344 354 380 392 404	535738181250
STPT(10)	3006668366462603537	0 2 30 32 60 62 90 92 120 122	1792295331330
TPT(16)	3006668490412684457	0 2 162 164 204 206 252 254 360 362 384 386 414 416 624 626	1916245412250