Prime p₀= 2163429791363066297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 76 2 76 2 82 2 34 2 (?)
a_n: 0 2 12 14 84 86 162 164 240 242 324 326 360 362
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: 362
Found by: Landjunge
db: batch=81, k=14, 10 70 76 76 82 34

TPT(14)	2163428645746314389	0 2 42 44 60 62 78 80 210 212 252 254 288 290	-1145616751908
STPT(10)	2163428778167313791	0 2 36 38 78 80 120 122 156 158	-1013195752506
SPT(16)	2163428823328737407	0 44 56 66 104 132 182 282 284 384 434 462 500 510 522 566	-968034328890
SPT(16)	2163429001964275979	0 8 14 24 48 104 150 198 230 278 324 380 404 414 420 428	-789398790318
SPT(16)	2163429405654503867	0 20 62 72 74 84 104 110 174 180 200 210 212 222 264 284	-385708562430
SPT(16)	2163429565626599947	0 4 66 132 172 174 202 250 306 354 382 384 424 490 552 556	-225736466350
STPT(10)	2163430011968414009	0 2 42 44 60 62 78 80 120 122	220605347712
STPT(10)	2163430510599860807	0 2 30 32 42 44 54 56 84 86	719236794510
TPT(14)	2163430680399633899	0 2 60 62 78 80 168 170 372 374 480 482 510 512	889036567602
SPT(16)	2163430682043405097	0 22 42 52 64 70 100 120 136 156 186 192 204 214 234 256	890680338800
SPT(16)	2163430736996396551	0 6 12 48 60 66 90 106 192 208 232 238 250 286 292 298	945633330254