Prime p₀= 2183425377168390161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 106 2 10 2 88 2 46 2 58 2 (?)
a_n: 0 2 78 80 186 188 198 200 288 290 336 338 396 398
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: 398
Found by: Penguin
db: batch=81, k=14, 76 106 10 88 46 58

TPT(14)	2183423956170381059	0 2 18 20 102 104 312 314 330 332 462 464 540 542	-1420998009102
STPT(10)	2183424246108254489	0 2 18 20 30 32 42 44 60 62	-1131060135672
SPT(16)	2183424258914465141	0 12 50 60 78 116 200 222 266 288 372 410 428 438 476 488	-1118253925020
STPT(10)	2183424333054666017	0 2 30 32 42 44 54 56 84 86	-1044113724144
SPT(16)	2183424511445349743	0 20 90 120 128 134 146 156 158 168 180 186 194 224 294 314	-865723040418
SPT(16)	2183425079097547829	0 14 32 92 120 144 168 218 234 284 308 332 360 420 438 452	-298070842332
STPT(10)	2183425675576150301	0 2 6 8 18 20 30 32 36 38	298407760140
SPT(16)	2183425895556986791	0 106 142 148 168 208 222 228 250 256 270 310 330 336 372 478	518388596630
STPT(10)	2183426086225010351	0 2 6 8 48 50 90 92 96 98	709056620190
SPT(16)	2183426253125974957	0 24 42 52 64 66 70 156 190 276 280 282 294 304 322 346	875957584796
SPT(16)	2183426253342345787	0 10 34 132 136 142 174 240 256 322 354 360 364 462 486 496	876173955626