Prime p₀= 2811306958760800319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 118 2 58 2 64 2 40 2 (?)
a_n: 0 2 30 32 42 44 162 164 222 224 288 290 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 28 10 118 58 64 40

TPT(14)	2811306236935266461	0 2 18 20 138 140 156 158 180 182 306 308 336 338	-721825533858
SPT(16)	2811306303744230353	0 10 48 54 64 66 90 120 124 154 178 180 190 196 234 244	-655016569966
SPT(16)	2811306712648863389	0 2 32 48 90 168 234 270 272 308 374 452 494 510 540 542	-246111936930
SPT(16)	2811306713848723907	0 24 50 116 120 126 134 186 200 252 260 266 270 336 362 386	-244912076412
STPT(10)	2811306772136619269	0 2 42 44 60 62 78 80 120 122	-186624181050
SPT(16)	2811306797515277461	0 30 58 102 126 186 192 196 222 226 232 292 316 360 388 418	-161245522858
TPT(14)	2811307044055329161	0 2 18 20 60 62 138 140 156 158 168 170 180 182	85294528842
TPT(14)	2811307256063202119	0 2 12 14 18 20 42 44 192 194 210 212 252 254	297302401800
TPT(14)	2811307937113912001	0 2 6 8 78 80 108 110 336 338 390 392 426 428	978353111682
SPT(16)	2811308232316599167	0 12 14 32 42 60 104 120 164 180 224 242 252 270 272 284	1273555798848
STPT(10)	2811308797994835959	0 2 42 44 60 62 78 80 120 122	1839234035640