Prime p₀= 2734925620912654691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 58 2 28 2 22 2 (?)
a_n: 0 2 18 20 30 32 96 98 156 158 186 188 210 212
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-2W]Kurzer
db: batch=82, k=14, 16 10 64 58 28 22

STPT(10)	2734924477385837069	0 2 12 14 90 92 168 170 180 182	-1143526817622
STPT(10)	2734924661254662089	0 2 12 14 90 92 168 170 180 182	-959657992602
TPT(14)	2734924761309894521	0 2 18 20 30 32 96 98 156 158 168 170 210 212	-859602760170
SPT(16)	2734924792797873967	0 22 42 64 124 126 154 196 210 252 280 282 342 364 384 406	-828114780724
SPT(16)	2734925126295639649	0 10 12 52 64 78 88 142 150 204 214 228 240 280 282 292	-494617015042
STPT(10)	2734925472582602441	0 2 6 8 18 20 30 32 36 38	-148330052250
TPT(14)	2734925898226573991	0 2 60 62 78 80 168 170 216 218 240 242 288 290	277313919300
STPT(10)	2734925898622530797	0 2 30 32 60 62 90 92 120 122	277709876106
STPT(10)	2734926234521250821	0 2 6 8 18 20 30 32 36 38	613608596130
SPT(16)	2734926270632620039	0 10 30 34 72 82 94 112 120 138 150 160 198 202 222 232	649719965348
STPT(10)	2734926431009346347	0 2 12 14 72 74 132 134 144 146	810096691656