Prime p₀= 2302979593780088051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 4 2 70 2 40 2 (?)
a_n: 0 2 36 38 78 80 90 92 96 98 168 170 210 212
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: Orange Kid
db: batch=81, k=14, 34 40 10 4 70 40

TPT(14)	2302978648766452667	0 2 150 152 162 164 192 194 204 206 234 236 372 374	-945013635384
STPT(10)	2302978726211359289	0 2 42 44 60 62 78 80 120 122	-867568728762
TPT(14)	2302978728376489841	0 2 30 32 108 110 138 140 186 188 270 272 318 320	-865403598210
TPT(14)	2302978745917884017	0 2 60 62 144 146 174 176 222 224 240 242 300 302	-847862204034
TPT(14)	2302979032322168771	0 2 96 98 138 140 180 182 348 350 366 368 438 440	-561457919280
SPT(16)	2302979304637087079	0 2 54 68 104 108 122 132 170 180 194 198 234 248 300 302	-289143000972
STPT(10)	2302979766415772909	0 2 48 50 90 92 132 134 180 182	172635684858
SPT(16)	2302979980817821883	0 44 114 128 156 168 210 266 288 344 386 398 426 440 510 554	387037733832
SPT(16)	2302980038145300373	0 10 18 40 54 70 90 144 160 214 234 250 264 286 294 304	444365212322
SPT(20)	2302980398905693541	0 30 56 60 102 116 140 152 170 180 272 282 300 312 336 350 392 396 422 452	805125605490
SPT(16)	2302980918979706851	0 40 106 120 130 132 138 156 172 190 196 198 208 222 288 328	1325199618800