Prime p₀= 1568420871694163327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 226 2 10 2 70 2 4 2 58 2 (?)
a_n: 0 2 12 14 240 242 252 254 324 326 330 332 390 392
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: Theadalus
db: batch=78, k=14, 10 226 10 70 4 58

STPT(10)	1568420488489098611	0 2 6 8 48 50 90 92 96 98	-383205064716
SPT(16)	1568420563807899853	0 10 16 78 94 100 120 130 174 184 204 210 226 288 294 304	-307886263474
SPT(18)	1568420599651353533	0 18 44 50 56 140 156 176 200 204 228 248 264 348 354 360 386 404	-272042809794
STPT(10)	1568420696409987359	0 2 18 20 30 32 42 44 60 62	-175284175968
SPT(16)	1568420774358666757	0 40 102 106 114 124 190 196 240 246 312 322 330 334 396 436	-97335496570
TPT(14)	1568420818176657539	0 2 12 14 78 80 90 92 108 110 132 134 162 164	-53517505788
SPT(16)	1568421135846236681	0 32 38 128 150 162 218 240 260 282 338 350 372 462 468 500	264152073354
SPT(16)	1568421377005777027	0 4 12 30 40 60 94 112 114 132 166 186 196 214 222 226	505311613700
SPT(16)	1568421700054619833	0 40 166 168 174 190 196 216 238 258 264 280 286 288 414 454	828360456506
STPT(10)	1568421700241115491	0 2 30 32 78 80 126 128 156 158	828546952164
SPT(20)	1568421883042397681	0 6 110 146 156 158 278 336 338 380 396 438 440 498 618 620 630 666 770 776	1011348234354