Prime p₀= 2378225813383282169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 64 2 70 2 40 2 28 2 (?)
a_n: 0 2 30 32 102 104 168 170 240 242 282 284 312 314
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: 314
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 28 70 64 70 40 28

STPT(10)	2378223750569635229	0 2 18 20 30 32 42 44 60 62	-2062813646940
SPT(16)	2378225462400753233	0 50 56 120 134 198 218 224 270 276 296 360 374 438 444 494	-350982528936
SPT(16)	2378225565584387053	0 6 40 66 78 94 118 120 124 126 150 166 178 204 238 244	-247798895116
SPT(16)	2378225597609571517	0 64 66 90 120 136 142 202 234 294 300 316 346 370 372 436	-215773710652
STPT(10)	2378225739138819671	0 2 6 8 48 50 90 92 96 98	-74244462498
SPT(16)	2378225776905043127	0 12 56 66 80 96 102 110 156 164 170 186 200 210 254 266	-36478239042
SPT(16)	2378225863217021863	0 24 34 66 70 84 136 156 178 198 250 264 268 300 310 334	49833739694
TPT(14)	2378225984383456769	0 2 42 44 48 50 72 74 78 80 90 92 210 212	171000174600
SPT(16)	2378226237225316949	0 32 74 120 122 158 258 260 342 344 444 480 482 528 570 602	423842034780
SPT(18)	2378227060099824469	0 12 28 30 40 82 180 184 222 340 378 382 480 522 532 534 550 562	1246716542300
SPT(16)	2378227181108273101	0 12 18 46 76 78 96 126 172 202 220 222 252 280 286 298	1367724990932