Prime p₀= 1239575408508537647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 16 2 10 2 34 2 28 2 (?)
a_n: 0 2 24 26 54 56 72 74 84 86 120 122 150 152
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: 152
Found by: Theadalus
db: batch=77, k=14, 22 28 16 10 34 28

STPT(10)	1239573228262536149	0 2 48 50 90 92 132 134 180 182	-2180246001498
SPT(16)	1239574220957692843	0 16 34 126 138 168 186 198 226 238 256 286 298 390 408 424	-1187550844804
SPT(16)	1239574340134859357	0 26 66 80 110 114 126 170 210 254 266 270 300 314 354 380	-1068373678290
SPT(16)	1239574529955174977	0 6 42 102 126 134 144 146 210 212 222 230 254 314 350 356	-878553362670
STPT(10)	1239574758802600271	0 2 6 8 18 20 30 32 36 38	-649705937376
STPT(10)	1239575276774662097	0 2 54 56 132 134 210 212 264 266	-131733875550
SPT(16)	1239576169551070991	0 26 56 78 96 98 168 210 248 290 360 362 380 402 432 458	761042533344
SPT(16)	1239576325953401929	0 10 30 48 52 70 160 238 282 360 450 468 472 490 510 520	917444864282
SPT(16)	1239576387166728953	0 14 18 26 60 96 168 200 234 266 338 374 408 416 420 434	978658191306
STPT(10)	1239576578647918367	0 2 84 86 132 134 180 182 264 266	1170139380720
STPT(10)	1239576820868515271	0 2 6 8 18 20 30 32 36 38	1412359977624