Prime p₀= 2549481783069378347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 28 2 34 2 112 2 58 2 (?)
a_n: 0 2 54 56 84 86 114 116 150 152 264 266 324 326
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: 326
Found by: Penguin
db: batch=82, k=14, 52 28 28 34 112 58

STPT(10)	2549480286554065517	0 2 42 44 72 74 102 104 144 146	-1496515312830
SPT(16)	2549480702911834691	0 32 60 90 132 146 182 216 332 366 402 416 458 488 516 548	-1080157543656
SPT(16)	2549481083234628701	0 8 56 120 182 186 242 288 320 366 422 426 488 552 600 608	-699834749646
STPT(10)	2549481110385995081	0 2 6 8 18 20 30 32 36 38	-672683383266
STPT(10)	2549481237171768839	0 2 18 20 30 32 42 44 60 62	-545897609508
SPT(16)	2549481780398673167	0 20 26 36 60 90 146 150 176 180 236 266 290 300 306 326	-2670705180
SPT(16)	2549483417996634121	0 10 46 52 60 66 78 88 90 100 112 118 126 132 168 178	1634927255774
STPT(10)	2549483433373024409	0 2 48 50 60 62 72 74 120 122	1650303646062
STPT(10)	2549484121136194127	0 2 12 14 42 44 72 74 84 86	2338066815780
SPT(16)	2549484411681544277	0 6 14 42 62 72 92 120 146 174 194 204 224 252 260 266	2628612165930
SPT(16)	2549484461488663693	0 10 16 24 70 100 114 168 196 250 264 294 340 348 354 364	2678419285346