Prime p₀= 2524879439427382781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 106 2 10 2 16 2 40 2 64 2 (?)
a_n: 0 2 120 122 228 230 240 242 258 260 300 302 366 368
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: 368
Found by: JayPi
db: batch=82, k=14, 118 106 10 16 40 64

SPT(16)	2524878924777680491	0 12 40 42 66 82 88 96 172 180 186 202 226 228 256 268	-514649702290
STPT(10)	2524879043231446337	0 2 42 44 72 74 102 104 144 146	-396195936444
STPT(10)	2524879093139611847	0 2 60 62 72 74 84 86 144 146	-346287770934
SPT(16)	2524879111058674283	0 14 20 26 30 36 44 114 200 270 278 284 288 294 300 314	-328368708498
STPT(10)	2524879306468318139	0 2 18 20 30 32 42 44 60 62	-132959064642
SPT(16)	2524879335309143089	0 34 40 120 148 160 190 244 258 312 342 354 382 462 468 502	-104118239692
SPT(16)	2524880092474578541	0 40 66 108 112 120 238 250 318 330 448 456 460 502 528 568	653047195760
STPT(10)	2524880777657196779	0 2 42 44 60 62 78 80 120 122	1338229813998
STPT(10)	2524881574677173027	0 2 30 32 222 224 414 416 444 446	2135249790246
SPT(16)	2524881782322365597	0 14 62 74 80 84 92 120 146 174 182 186 192 204 252 266	2342894982816
SPT(16)	2524882135121869309	0 22 42 52 54 72 78 204 268 394 400 418 420 430 450 472	2695694486528