Prime p₀= 2342944237591470869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 142 2 16 2 40 2 64 2 (?)
a_n: 0 2 42 44 108 110 252 254 270 272 312 314 378 380
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: 380
Found by: herby44
db: batch=81, k=14, 40 64 142 16 40 64

TPT(14)	2342942589211205921	0 2 30 32 60 62 78 80 186 188 198 200 288 290	-1648380264948
STPT(10)	2342942956694096759	0 2 30 32 60 62 90 92 120 122	-1280897374110
SPT(16)	2342942960670456691	0 28 66 106 126 180 186 196 222 232 238 292 312 352 390 418	-1276921014178
SPT(16)	2342943461377067629	0 22 72 142 148 160 198 202 330 334 372 384 390 460 510 532	-776214403240
SPT(16)	2342943550945289417	0 26 30 56 170 182 210 236 240 266 294 306 420 446 450 476	-686646181452
SPT(13)	2342943594209573527	0 42 54 90 102 120 132 144 162 174 210 222 264	-643381897342
STPT(10)	2342944466211914837	0 2 30 32 42 44 54 56 84 86	228620443968
SPT(16)	2342945174812716281	0 38 48 56 120 162 176 188 210 222 236 278 342 350 360 398	937221245412
SPT(16)	2342945276151377839	0 12 40 78 100 112 138 148 162 172 198 210 232 270 298 310	1038559906970
STPT(10)	2342945502144456899	0 2 18 20 30 32 42 44 60 62	1264552986030
STPT(10)	2342945582408731187	0 2 30 32 42 44 54 56 84 86	1344817260318