Prime p₀= 2377475867258370341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 130 2 76 2 88 2 10 2 28 2 (?)
a_n: 0 2 78 80 210 212 288 290 378 380 390 392 420 422
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: 422
Found by: Landjunge
db: batch=81, k=14, 76 130 76 88 10 28

STPT(10)	2377474002146863559	0 2 18 20 60 62 102 104 120 122	-1865111506782
SPT(16)	2377474344718493311	0 40 70 172 210 228 250 252 298 300 322 340 378 480 510 550	-1522539877030
SPT(16)	2377474678247009113	0 34 36 58 66 84 100 108 166 174 190 208 216 238 240 274	-1189011361228
TPT(14)	2377475236591360109	0 2 72 74 138 140 180 182 222 224 318 320 330 332	-630667010232
STPT(10)	2377475314963777979	0 2 18 20 30 32 42 44 60 62	-552294592362
SPT(16)	2377475429048961511	0 30 48 58 72 76 100 106 132 138 162 166 180 190 208 238	-438209408830
SPT(16)	2377475871660927409	0 12 30 42 78 84 100 124 168 192 208 214 250 262 280 292	4402557068
STPT(10)	2377476186919925849	0 2 18 20 30 32 42 44 60 62	319661555508
SPT(16)	2377476257855661089	0 12 50 72 78 92 152 158 162 168 228 242 248 270 308 320	390597290748
STPT(10)	2377476333318979157	0 2 42 44 72 74 102 104 144 146	466060608816
STPT(10)	2377477016490513137	0 2 54 56 72 74 90 92 144 146	1149232142796