Prime p₀= 3006664330507183637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 130 2 34 2 70 2 16 2 52 2 (?)
a_n: 0 2 42 44 174 176 210 212 282 284 300 302 354 356
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 356
Found by: [SG-FC] hl
db: batch=82, k=14, 40 130 34 70 16 52

SPT(18)	3006662302958427797	0 26 36 54 56 104 140 144 162 164 182 186 222 270 272 290 300 326	-2027548755840
STPT(10)	3006662477385666509	0 2 48 50 90 92 132 134 180 182	-1853121517128
STPT(10)	3006662785945421747	0 2 42 44 72 74 102 104 144 146	-1544561761890
STPT(10)	3006663019430480477	0 2 12 14 42 44 72 74 84 86	-1311076703160
SPT(16)	3006663561215490053	0 8 20 36 50 78 80 104 150 174 176 204 218 234 246 254	-769291693584
SPT(18)	3006664110431091449	0 42 50 62 84 132 174 182 188 234 240 248 290 338 360 372 380 422	-220076092188
SPT(16)	3006664544058451147	0 6 70 72 76 172 190 196 216 222 240 336 340 342 406 412	213551267510
SPT(16)	3006665272220779343	0 18 30 44 66 74 128 180 254 306 360 368 390 404 416 434	941713595706
SPT(16)	3006666253421134181	0 50 56 66 80 146 180 192 236 248 282 348 362 372 378 428	1922913950544
STPT(10)	3006666574167272207	0 2 42 44 102 104 162 164 204 206	2243660088570
SPT(16)	3006666743668675117	0 6 10 34 52 64 184 240 316 372 492 504 522 546 550 556	2413161491480