Prime p₀= 2618422634868463649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 16 2 70 2 88 2 58 2 (?)
a_n: 0 2 18 20 30 32 48 50 120 122 210 212 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 16 10 16 70 88 58

SPT(16)	2618420002034071957	0 12 36 46 94 96 120 150 166 196 220 222 270 280 304 316	-2632834391692
STPT(10)	2618420899880152067	0 2 30 32 42 44 54 56 84 86	-1734988311582
SPT(16)	2618420925701799331	0 12 46 60 70 100 112 130 138 156 168 198 208 222 256 268	-1709166664318
SPT(16)	2618421876852528157	0 12 54 60 66 94 112 126 130 144 162 190 196 202 244 256	-758015935492
STPT(10)	2618421942157527599	0 2 30 32 60 62 90 92 120 122	-692710936050
TPT(14)	2618421958089590711	0 2 48 50 60 62 78 80 90 92 156 158 240 242	-676778872938
TPT(14)	2618423736336366149	0 2 102 104 120 122 162 164 270 272 300 302 312 314	1101467902500
STPT(10)	2618424364572510971	0 2 36 38 78 80 120 122 156 158	1729704047322
SPT(16)	2618424452120466967	0 40 52 54 60 82 132 172 174 214 264 286 292 294 306 346	1817252003318
STPT(10)	2618424653661281081	0 2 66 68 138 140 210 212 276 278	2018792817432
SPT(16)	2618424880118689483	0 6 24 34 48 66 76 88 156 168 178 196 210 220 238 244	2245250225834