Prime p₀= 1347270410358849521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 70 2 4 2 52 2 76 2 16 2 (?)
a_n: 0 2 108 110 180 182 186 188 240 242 318 320 336 338
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: 338
Found by: Theadalus
db: batch=77, k=14, 106 70 4 52 76 16

SPT(16)	1347269960024587019	0 18 38 80 92 120 122 134 168 180 182 210 222 264 284 302	-450334262502
STPT(10)	1347269977110089399	0 2 48 50 90 92 132 134 180 182	-433248760122
SPT(16)	1347269997326064353	0 36 90 110 120 126 156 174 176 194 224 230 240 260 314 350	-413032785168
TPT(16)	1347270085714803881	0 2 36 38 120 122 210 212 306 308 330 332 366 368 408 410	-324644045640
STPT(10)	1347270267569086319	0 2 18 20 30 32 42 44 60 62	-142789763202
SPT(16)	1347270293550015083	0 30 54 110 126 144 156 186 278 308 320 338 354 410 434 464	-116808834438
SPT(16)	1347270762218723777	0 26 42 50 96 122 140 152 210 222 240 266 312 320 336 362	351859874256
SPT(16)	1347271160333582023	0 108 126 178 196 246 348 378 388 418 520 570 588 640 658 766	749974732502
SPT(18)	1347271241039397889	0 28 54 70 88 108 112 160 222 250 312 360 364 384 402 418 444 472	830680548368
STPT(10)	1347271602668392769	0 2 18 20 30 32 42 44 60 62	1192309543248
SPT(16)	1347271854451131527	0 24 72 116 132 146 150 174 182 206 210 224 240 284 332 356	1444092282006