Prime p₀= 2360707960776416129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 16 2 10 2 28 2 34 2 (?)
a_n: 0 2 60 62 72 74 90 92 102 104 132 134 168 170
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: 170
Found by: conf [MM]
db: batch=81, k=14, 58 10 16 10 28 34

SPT(16)	2360707458585715711	0 16 36 40 52 58 66 72 76 82 90 96 108 112 132 148	-502190700418
STPT(10)	2360707508432632661	0 2 30 32 78 80 126 128 156 158	-452343783468
STPT(10)	2360707673569436201	0 2 6 8 48 50 90 92 96 98	-287206979928
STPT(10)	2360707692324576797	0 2 42 44 72 74 102 104 144 146	-268451839332
STPT(10)	2360707799031520571	0 2 6 8 48 50 90 92 96 98	-161744895558
SPT(16)	2360707825802285887	0 6 114 160 162 186 222 240 256 274 310 334 336 382 490 496	-134974130242
SPT(16)	2360707998217581787	0 54 112 120 124 150 172 222 244 294 316 342 346 354 412 466	37441165658
STPT(10)	2360708191427024729	0 2 42 44 90 92 138 140 180 182	230650608600
SPT(16)	2360708249488758797	0 14 20 36 50 66 92 146 180 234 260 276 290 306 312 326	288712342668
TPT(14)	2360708288647714919	0 2 18 20 42 44 102 104 198 200 270 272 312 314	327871298790
SPT(16)	2360708525431265237	0 50 72 120 132 152 254 264 302 312 414 434 446 494 516 566	564654849108