Prime p₀= 2378966039686794329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 28 2 172 2 4 2 10 2 (?)
a_n: 0 2 30 32 48 50 78 80 252 254 258 260 270 272
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: 272
Found by: [AF] Kalianthys
db: batch=81, k=14, 28 16 28 172 4 10

STPT(10)	2378963189402883779	0 2 78 80 150 152 222 224 300 302	-2850283910550
STPT(10)	2378963335307843069	0 2 30 32 60 62 90 92 120 122	-2704378951260
STPT(10)	2378964623362104299	0 2 18 20 30 32 42 44 60 62	-1416324690030
STPT(10)	2378965092189135449	0 2 18 20 30 32 42 44 60 62	-947497658880
SPT(16)	2378965820308616639	0 14 20 48 60 74 80 104 204 228 234 248 260 288 294 308	-219378177690
STPT(10)	2378966019717308627	0 2 60 62 72 74 84 86 144 146	-19969485702
SPT(16)	2378966071231714163	0 24 30 66 68 86 134 170 174 210 258 276 278 314 320 344	31544919834
SPT(16)	2378966257728788759	0 50 78 104 114 120 174 240 308 374 428 434 444 470 498 548	218041994430
SPT(16)	2378967693271655371	0 48 70 90 106 112 162 196 222 256 306 312 328 348 370 418	1653584861042
STPT(10)	2378967712422706157	0 2 30 32 42 44 54 56 84 86	1672735911828
SPT(16)	2378967990908867341	0 12 16 36 40 70 88 112 156 180 198 228 232 252 256 268	1951222073012