Prime p₀= 2276239722420132149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 4 2 52 2 64 2 (?)
a_n: 0 2 18 20 30 32 42 44 48 50 102 104 168 170
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: 170
Found by: Orange Kid
db: batch=81, k=14, 16 10 10 4 52 64

TPT(14)	2276238786585706541	0 2 18 20 30 32 96 98 126 128 186 188 228 230	-935834425608
SPT(16)	2276239240261057343	0 30 38 48 54 56 90 104 150 164 198 200 206 216 224 254	-482159074806
SPT(16)	2276239419972573509	0 38 60 72 90 102 158 210 212 264 320 332 350 362 384 422	-302447558640
SPT(16)	2276239548600551909	0 8 44 60 74 90 92 128 144 180 182 198 212 228 264 272	-173819580240
STPT(10)	2276239593072188267	0 2 30 32 42 44 54 56 84 86	-129347943882
SPT(16)	2276239700651489813	0 6 36 48 60 80 144 168 206 230 294 314 326 338 368 374	-21768642336
SPT(16)	2276240219791858897	0 22 24 42 70 174 220 234 250 264 310 414 442 460 462 484	497371726748
STPT(10)	2276241153813559529	0 2 42 44 60 62 78 80 120 122	1431393427380
SPT(16)	2276241370472230927	0 34 64 100 106 154 184 192 244 252 282 330 336 372 402 436	1648052098778
TPT(16)	2276241404999347349	0 2 12 14 102 104 132 134 222 224 300 302 378 380 408 410	1682579215200
SPT(16)	2276241522413073613	0 10 60 124 184 256 270 286 318 334 348 420 480 544 594 604	1799992941464