Prime p₀= 2839465723417452431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 46 2 178 2 10 2 40 2 (?)
a_n: 0 2 66 68 78 80 126 128 306 308 318 320 360 362
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: 362
Found by: [SG-FC] hl
db: batch=82, k=14, 64 10 46 178 10 40

STPT(10)	2839463521512682541	0 2 36 38 78 80 120 122 156 158	-2201904769890
TPT(14)	2839463919770868287	0 2 30 32 162 164 174 176 252 254 282 284 372 374	-1803646584144
SPT(16)	2839464060823508351	0 8 32 60 72 120 150 216 242 308 338 386 398 426 450 458	-1662593944080
STPT(10)	2839464310314982541	0 2 36 38 78 80 120 122 156 158	-1413102469890
STPT(10)	2839464894926972027	0 2 60 62 72 74 84 86 144 146	-828490480404
TPT(14)	2839465157441406797	0 2 30 32 90 92 144 146 162 164 174 176 210 212	-565976045634
STPT(10)	2839465943803007339	0 2 18 20 30 32 42 44 60 62	220385554908
SPT(16)	2839466713926095599	0 10 34 52 58 114 118 132 220 234 238 294 300 318 342 352	990508643168
SPT(16)	2839466804118583537	0 10 30 34 52 64 94 114 202 222 252 264 282 286 306 316	1080701131106
SPT(16)	2839467149067808121	0 20 32 42 48 80 102 108 200 206 228 260 266 276 288 308	1425650355690
SPT(16)	2839467603770824441	0 16 46 48 52 70 108 156 172 220 258 276 280 282 312 328	1880353372010