Prime p₀= 2796922982904718667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 148 2 28 2 4 2 88 2 (?)
a_n: 0 2 60 62 84 86 234 236 264 266 270 272 360 362
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: 362
Found by: JayPi
db: batch=82, k=14, 58 22 148 28 4 88

STPT(10)	2796920805548409521	0 2 36 38 78 80 120 122 156 158	-2177356309146
TPT(16)	2796920930923005569	0 2 12 14 18 20 42 44 102 104 132 134 222 224 270 272	-2051981713098
SPT(16)	2796921124991076877	0 30 40 70 82 94 112 114 160 162 180 192 204 234 244 274	-1857913641790
SPT(18)	2796921457789535039	0 8 98 110 122 132 162 168 234 248 314 320 350 360 372 384 474 482	-1525115183628
SPT(16)	2796921952125705121	0 16 28 60 102 148 160 172 186 198 210 256 298 330 342 358	-1030779013546
SPT(16)	2796922297914527339	0 50 60 72 84 90 102 104 240 242 254 260 272 284 294 344	-684990191328
SPT(16)	2796923065735721731	0 30 70 72 78 102 120 132 238 250 268 292 298 300 340 370	82831003064
STPT(10)	2796923309187858647	0 2 30 32 42 44 54 56 84 86	326283139980
SPT(16)	2796923393709137909	0 24 30 84 152 168 320 380 432 492 644 660 728 782 788 812	410804419242
STPT(10)	2796923553798027089	0 2 42 44 60 62 78 80 120 122	570893308422
STPT(10)	2796923696521178639	0 2 18 20 30 32 42 44 60 62	713616459972