Prime p₀= 2183423956170381059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 208 2 16 2 130 2 76 2 (?)
a_n: 0 2 18 20 102 104 312 314 330 332 462 464 540 542
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: 542
Found by: Penguin
db: batch=81, k=14, 16 82 208 16 130 76

TPT(14)	2183421606983563277	0 2 42 44 90 92 132 134 144 146 204 206 282 284	-2349186817782
STPT(10)	2183422256084272961	0 2 6 8 18 20 30 32 36 38	-1700086108098
TPT(14)	2183422422614804417	0 2 90 92 114 116 144 146 180 182 222 224 294 296	-1533555576642
SPT(16)	2183422584115387579	0 24 28 40 48 70 130 154 198 222 282 304 312 324 328 352	-1372054993480
SPT(16)	2183422622849999303	0 78 90 120 126 128 180 210 266 296 348 350 356 386 398 476	-1333320381756
STPT(10)	2183423523392881529	0 2 48 50 90 92 132 134 180 182	-432777499530
STPT(10)	2183424246108254489	0 2 18 20 30 32 42 44 60 62	289937873430
SPT(16)	2183424258914465141	0 12 50 60 78 116 200 222 266 288 372 410 428 438 476 488	302744084082
STPT(10)	2183424333054666017	0 2 30 32 42 44 54 56 84 86	376884284958
SPT(16)	2183424511445349743	0 20 90 120 128 134 146 156 158 168 180 186 194 224 294 314	555274968684
SPT(16)	2183425079097547829	0 14 32 92 120 144 168 218 234 284 308 332 360 420 438 452	1122927166770