Prime p₀= 2851753893863958761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 82 2 34 2 118 2 10 2 70 2 (?)
a_n: 0 2 66 68 150 152 186 188 306 308 318 320 390 392
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: 392
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 64 82 34 118 10 70

SPT(16)	2851752114188019167	0 2 12 24 102 126 212 236 270 294 380 404 482 494 504 506	-1779675939594
SPT(18)	2851752516482890981	0 6 16 42 46 100 108 120 136 252 268 280 288 342 346 372 382 388	-1377381067780
STPT(10)	2851752687721847027	0 2 24 26 42 44 60 62 84 86	-1206142111734
SPT(16)	2851753083235129781	0 2 26 30 32 38 68 120 158 210 240 246 248 252 276 278	-810628828980
SPT(16)	2851753180920115181	0 8 12 48 68 78 80 90 140 150 152 162 182 218 222 230	-712943843580
STPT(10)	2851753456665359471	0 2 36 38 78 80 120 122 156 158	-437198599290
SPT(16)	2851753929524183413	0 28 48 66 70 78 108 190 204 286 316 324 328 346 366 394	35660224652
SPT(16)	2851754032361828471	0 30 38 56 92 108 132 146 192 206 230 246 282 300 308 338	138497869710
SPT(16)	2851754260895256841	0 22 40 42 76 106 108 148 180 220 222 252 286 288 306 328	367031298080
STPT(10)	2851754264530272089	0 2 18 20 30 32 42 44 60 62	370666313328
SPT(16)	2851754339690149939	0 28 30 64 112 160 180 210 232 262 282 330 378 412 414 442	445826191178