Prime p₀= 2397022648792299971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 100 2 4 2 28 2 40 2 10 2 (?)
a_n: 0 2 18 20 120 122 126 128 156 158 198 200 210 212
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=81, k=14, 16 100 4 28 40 10

TPT(14)	2397021108952448939	0 2 42 44 162 164 312 314 342 344 372 374 492 494	-1539839851032
TPT(14)	2397021235632623597	0 2 54 56 114 116 132 134 240 242 270 272 312 314	-1413159676374
STPT(10)	2397021316605939227	0 2 12 14 42 44 72 74 84 86	-1332186360744
SPT(16)	2397021757645486471	0 42 66 100 112 142 190 232 240 282 330 360 372 406 430 472	-891146813500
SPT(16)	2397022055711822237	0 2 12 26 44 66 110 116 150 156 200 222 240 254 264 266	-593080477734
SPT(16)	2397022309959121067	0 60 66 72 104 110 144 146 150 152 186 192 224 230 236 296	-338833178904
STPT(10)	2397022740211740437	0 2 30 32 42 44 54 56 84 86	91419440466
SPT(16)	2397022967379038539	0 10 28 30 78 120 160 162 190 192 232 274 322 324 342 352	318586738568
STPT(12)	2397023073197359301	0 2 120 122 168 170 198 200 246 248 366 368	424405059330
SPT(16)	2397023171790426961	0 46 52 70 82 136 250 292 300 342 456 510 522 540 546 592	522998126990
SPT(16)	2397023229514254389	0 2 14 20 72 80 114 140 174 200 234 242 294 300 312 314	580721954418