Prime p₀= 2719665354012252167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 34 2 40 2 10 2 64 2 (?)
a_n: 0 2 42 44 54 56 90 92 132 134 144 146 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 40 10 34 40 10 64

SPT(16)	2719664029886280427	0 10 12 30 42 82 130 144 220 234 282 322 334 352 354 364	-1324125971740
SPT(16)	2719664148013678783	0 10 16 24 54 66 124 144 220 240 298 310 340 348 354 364	-1205998573384
STPT(10)	2719664376971422289	0 2 48 50 90 92 132 134 180 182	-977040829878
STPT(10)	2719664525324001557	0 2 30 32 42 44 54 56 84 86	-828688250610
TPT(14)	2719664608769833337	0 2 30 32 54 56 72 74 84 86 114 116 222 224	-745242418830
STPT(10)	2719664789404630349	0 2 18 20 60 62 102 104 120 122	-564607621818
SPT(16)	2719665612943433251	0 28 40 58 82 100 126 130 168 172 198 216 240 258 270 298	258931181084
STPT(10)	2719665782589974891	0 2 30 32 78 80 126 128 156 158	428577722724
SPT(16)	2719665936597398639	0 8 12 14 30 50 54 78 134 158 162 182 198 200 204 212	582585146472
SPT(16)	2719666312086140999	0 18 24 38 98 140 158 180 182 204 222 264 324 338 344 362	958073888832
STPT(10)	2719666664595088799	0 2 42 44 90 92 138 140 180 182	1310582836632