Prime p₀= 2351562549518288339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 4 2 52 2 118 2 (?)
a_n: 0 2 30 32 60 62 72 74 78 80 132 134 252 254
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: 254
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=14, 28 28 10 4 52 118

SPT(16)	2351560611479491721	0 8 36 60 102 126 212 228 350 366 452 476 518 542 570 578	-1938038796618
STPT(10)	2351561288569858367	0 2 30 32 60 62 90 92 120 122	-1260948429972
SPT(16)	2351561371216442263	0 16 30 48 60 84 90 106 138 154 160 184 196 214 228 244	-1178301846076
STPT(10)	2351561663586642707	0 2 54 56 72 74 90 92 144 146	-885931645632
STPT(10)	2351561728950296999	0 2 48 50 90 92 132 134 180 182	-820567991340
SPT(16)	2351561866911039631	0 18 30 66 118 120 150 190 198 238 268 270 322 358 370 388	-682607248708
SPT(16)	2351562790419551087	0 30 32 36 56 60 86 134 162 210 236 240 260 264 266 296	240901262748
STPT(10)	2351562811716159779	0 2 12 14 90 92 168 170 180 182	262197871440
TPT(14)	2351563078322246729	0 2 78 80 90 92 222 224 330 332 348 350 402 404	528803958390
SPT(16)	2351563430314917211	0 40 66 96 142 156 162 186 316 340 346 360 406 436 462 502	880796628872
SPT(16)	2351563549028310901	0 42 48 70 130 138 142 148 180 186 190 198 258 280 286 328	999510022562