Prime p₀= 2140273000954667429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 4 2 28 2 10 2 16 2 (?)
a_n: 0 2 90 92 132 134 138 140 168 170 180 182 198 200
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: 200
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 88 40 4 28 10 16

STPT(10)	2140272127686659357	0 2 30 32 42 44 54 56 84 86	-873268008072
STPT(10)	2140272570626875187	0 2 24 26 42 44 60 62 84 86	-430327792242
SPT(16)	2140272647235496321	0 36 42 60 66 126 136 150 172 186 196 256 262 280 286 322	-353719171108
STPT(10)	2140272851129310977	0 2 72 74 102 104 132 134 204 206	-149825356452
SPT(16)	2140272859053018049	0 10 22 24 28 90 94 100 132 138 142 204 208 210 222 232	-141901649380
SPT(16)	2140272963212593691	0 102 140 152 210 240 282 290 312 320 362 392 450 462 500 602	-37742073738
STPT(10)	2140273308444220067	0 2 30 32 42 44 54 56 84 86	307489552638
TPT(14)	2140273963228194809	0 2 30 32 72 74 78 80 108 110 138 140 198 200	962273527380
SPT(16)	2140274690594448929	0 24 42 44 104 140 170 174 230 234 264 300 360 362 380 404	1689639781500
TPT(14)	2140274999897856557	0 2 24 26 114 116 180 182 282 284 402 404 534 536	1998943189128
STPT(10)	2140275040147885517	0 2 30 32 60 62 90 92 120 122	2039193218088