Prime p₀= 2375361464919564299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 76 2 10 2 178 2 28 2 (?)
a_n: 0 2 78 80 90 92 168 170 180 182 360 362 390 392
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: 392
Found by: ChUcK
db: batch=81, k=14, 76 10 76 10 178 28

SPT(16)	2375360086600489211	0 42 48 56 62 126 146 242 366 462 482 546 552 560 566 608	-1378319075088
STPT(10)	2375360271340783169	0 2 42 44 60 62 78 80 120 122	-1193578781130
STPT(10)	2375360386535045249	0 2 18 20 30 32 42 44 60 62	-1078384519050
SPT(16)	2375360816621663791	0 12 42 78 90 100 126 162 166 202 228 238 250 286 316 328	-648297900508
STPT(10)	2375361063374562059	0 2 18 20 30 32 42 44 60 62	-401545002240
TPT(14)	2375361456249008999	0 2 30 32 48 50 72 74 102 104 168 170 210 212	-8670555300
STPT(10)	2375361697761381137	0 2 54 56 72 74 90 92 144 146	232841816838
STPT(10)	2375362190428276727	0 2 30 32 42 44 54 56 84 86	725508712428
SPT(16)	2375362251433251683	0 14 36 44 54 66 150 176 228 254 338 350 360 368 390 404	786513687384
STPT(10)	2375362546075296227	0 2 90 92 102 104 114 116 204 206	1081155731928
SPT(16)	2375363101814803081	0 42 60 72 76 90 130 132 196 198 238 252 256 268 286 328	1636895238782