Prime p₀= 2351563078322246729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 130 2 106 2 16 2 52 2 (?)
a_n: 0 2 78 80 90 92 222 224 330 332 348 350 402 404
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: 404
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=14, 76 10 130 106 16 52

STPT(10)	2351561663586642707	0 2 54 56 72 74 90 92 144 146	-1414735604022
STPT(10)	2351561728950296999	0 2 48 50 90 92 132 134 180 182	-1349371949730
SPT(16)	2351561866911039631	0 18 30 66 118 120 150 190 198 238 268 270 322 358 370 388	-1211411207098
TPT(14)	2351562549518288339	0 2 30 32 60 62 72 74 78 80 132 134 252 254	-528803958390
SPT(16)	2351562790419551087	0 30 32 36 56 60 86 134 162 210 236 240 260 264 266 296	-287902695642
STPT(10)	2351562811716159779	0 2 12 14 90 92 168 170 180 182	-266606086950
SPT(16)	2351563430314917211	0 40 66 96 142 156 162 186 316 340 346 360 406 436 462 502	351992670482
SPT(16)	2351563549028310901	0 42 48 70 130 138 142 148 180 186 190 198 258 280 286 328	470706064172
SPT(16)	2351563793900394277	0 36 64 72 100 102 120 180 196 256 274 276 304 312 340 376	715578147548
STPT(10)	2351564367672004127	0 2 30 32 42 44 54 56 84 86	1289349757398
SPT(16)	2351564752527704983	0 10 24 34 64 100 126 154 156 184 210 246 276 286 300 310	1674205458254