Prime p₀= 2377578240563833787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 196 2 70 2 118 2 10 2 (?)
a_n: 0 2 54 56 72 74 270 272 342 344 462 464 474 476
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: 476
Found by: Landjunge
db: batch=81, k=14, 52 16 196 70 118 10

STPT(12)	2377576920431203817	0 2 30 32 42 44 60 62 72 74 102 104	-1320132629970
STPT(10)	2377577853522620207	0 2 30 32 42 44 54 56 84 86	-387041213580
SPT(16)	2377577906386546261	0 30 46 48 58 60 168 180 298 310 418 420 430 432 448 478	-334177287526
STPT(10)	2377577941091353457	0 2 30 32 72 74 114 116 144 146	-299472480330
SPT(16)	2377577967850247497	0 34 54 70 82 90 100 150 184 234 244 252 264 280 300 334	-272713586290
SPT(16)	2377578096877789591	0 22 36 48 66 88 90 148 240 298 300 322 340 352 366 388	-143686044196
SPT(16)	2377578308869948577	0 66 92 110 126 144 170 206 240 276 302 320 336 354 380 446	68306114790
STPT(10)	2377578317812789319	0 2 48 50 90 92 132 134 180 182	77248955532
SPT(16)	2377578398360353381	0 6 48 58 70 78 100 118 120 138 160 168 180 190 232 238	157796519594
SPT(16)	2377578701811033991	0 18 58 112 138 168 210 228 292 310 352 382 408 462 502 520	461247200204
SPT(16)	2377578737836861261	0 6 22 42 70 72 136 150 208 222 286 288 316 336 352 358	497273027474