Prime p₀= 1510637094808167407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 46 2 28 2 46 2 82 2 (?)
a_n: 0 2 30 32 54 56 102 104 132 134 180 182 264 266
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: 266
Found by: xii5ku
db: batch=78, k=14, 28 22 46 28 46 82

SPT(16)	1510634837078008141	0 36 40 82 90 148 162 208 330 376 390 448 456 498 502 538	-2257730159266
SPT(16)	1510635526813007011	0 18 46 88 102 148 160 190 228 258 270 316 330 372 400 418	-1567995160396
SPT(16)	1510635719176831097	0 6 26 36 56 90 92 104 132 144 146 180 200 210 230 236	-1375631336310
STPT(10)	1510636172304122957	0 2 30 32 60 62 90 92 120 122	-922504044450
STPT(10)	1510636796874802691	0 2 6 8 48 50 90 92 96 98	-297933364716
STPT(10)	1510637059189101341	0 2 36 38 78 80 120 122 156 158	-35619066066
SPT(16)	1510637618297260303	0 36 60 120 156 196 250 256 264 270 324 364 400 460 484 520	523489092896
SPT(16)	1510637737307203823	0 6 36 50 86 104 110 170 180 240 246 264 300 314 344 350	642499036416
SPT(16)	1510637988446133739	0 70 78 124 142 174 190 202 240 252 268 300 318 364 372 442	893637966332
STPT(10)	1510638161131510517	0 2 12 14 42 44 72 74 84 86	1066323343110
STPT(10)	1510638323441926487	0 2 12 14 72 74 132 134 144 146	1228633759080