Prime p₀= 2782750285507945307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 136 2 52 2 28 2 4 2 (?)
a_n: 0 2 84 86 102 104 240 242 294 296 324 326 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 82 16 136 52 28 4

STPT(10)	2782749043315106597	0 2 54 56 132 134 210 212 264 266	-1242192838710
TPT(14)	2782749177415149167	0 2 30 32 42 44 162 164 192 194 222 224 240 242	-1108092796140
STPT(10)	2782749596927117327	0 2 42 44 72 74 102 104 144 146	-688580827980
SPT(16)	2782749603255478847	0 14 20 42 96 116 134 156 200 222 240 260 314 336 342 356	-682252466460
SPT(16)	2782749851208118949	0 54 62 104 114 120 134 164 180 210 224 230 240 282 290 344	-434299826358
STPT(10)	2782749956667370097	0 2 42 44 72 74 102 104 144 146	-328840575210
SPT(16)	2782750563674776787	0 2 54 56 92 96 120 126 170 176 200 204 240 242 294 296	278166831480
SPT(16)	2782751511079765943	0 50 86 104 110 116 170 194 330 354 408 414 420 438 474 524	1225571820636
SPT(16)	2782751768152153859	0 24 54 62 68 74 98 102 140 144 168 174 180 188 218 242	1482644208552
STPT(10)	2782752063498625037	0 2 30 32 42 44 54 56 84 86	1777990679730
SPT(16)	2782752250273330417	0 12 36 52 54 70 150 192 304 346 426 442 444 460 484 496	1964765385110