Prime p₀= 795707270684107499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 52 2 94 2 22 2 28 2 (?)
a_n: 0 2 18 20 48 50 102 104 198 200 222 224 252 254
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: 254
Found by: Theadalus
db: batch=73, k=14, 16 28 52 94 22 28

STPT(10)	795706336070862257	0 2 30 32 42 44 54 56 84 86	-934613245242
STPT(10)	795706474100823161	0 2 30 32 60 62 90 92 120 122	-796583284338
SPT(16)	795706534495829839	0 12 28 42 70 72 78 100 210 232 238 240 268 282 298 310	-736188277660
SPT(16)	795706591079770177	0 54 100 114 120 156 274 294 346 366 484 520 526 540 586 640	-679604337322
SPT(16)	795706720656329149	0 22 28 52 114 132 192 220 222 250 310 328 390 414 420 442	-550027778350
SPT(16)	795706871693519783	0 8 54 78 98 104 140 156 158 174 210 216 236 260 306 314	-398990587716
SPT(16)	795707752208917343	0 6 8 20 74 98 116 138 146 168 186 210 264 276 278 284	481524809844
SPT(16)	795707938849455787	0 12 22 64 114 150 154 162 172 180 184 220 270 312 322 334	668165348288
STPT(10)	795707976894479861	0 2 36 38 78 80 120 122 156 158	706210372362
SPT(18)	795708056924462723	0 6 44 114 116 174 188 200 216 248 264 276 290 348 350 420 458 464	786240355224
STPT(10)	795708315789447041	0 2 36 38 78 80 120 122 156 158	1045105339542