Prime p₀= 1324416538593865877 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 70 2 94 2 82 2 16 2 (?)
a_n: 0 2 24 26 42 44 114 116 210 212 294 296 312 314
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: Theadalus
db: batch=77, k=14, 22 16 70 94 82 16

TPT(14)	1324416197857980947	0 2 24 26 102 104 150 152 210 212 264 266 432 434	-340735884930
STPT(10)	1324416280973671181	0 2 6 8 18 20 30 32 36 38	-257620194696
SPT(16)	1324416315052221983	0 14 20 44 96 120 138 144 170 176 194 218 270 294 300 314	-223541643894
SPT(16)	1324416321518699179	0 84 94 112 144 150 162 168 214 220 232 238 270 288 298 382	-217075166698
SPT(16)	1324416435363010147	0 16 22 34 60 96 112 142 144 174 190 226 252 264 270 286	-103230855730
TPT(14)	1324416522070051229	0 2 42 44 78 80 108 110 138 140 162 164 210 212	-16523814648
SPT(16)	1324416665158507603	0 18 30 60 106 144 156 160 294 298 310 348 394 424 436 454	126564641726
SPT(16)	1324416955275618293	0 14 20 50 96 116 134 138 146 150 168 188 234 264 270 284	416681752416
SPT(16)	1324417046683979509	0 4 84 88 94 130 214 268 330 384 468 504 510 514 594 598	508090113632
STPT(10)	1324417596559220897	0 2 30 32 42 44 54 56 84 86	1057965355020
STPT(10)	1324417679947347521	0 2 6 8 48 50 90 92 96 98	1141353481644