Prime p₀= 1396891664057366339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 64 2 28 2 82 2 46 2 (?)
a_n: 0 2 30 32 102 104 168 170 198 200 282 284 330 332
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: 332
Found by: Steve Dodd
db: batch=77, k=14, 28 70 64 28 82 46

SPT(16)	1396890782240792273	0 8 14 66 114 140 200 218 276 294 354 380 428 480 486 494	-881816574066
SPT(16)	1396890820419496861	0 40 166 208 268 280 288 316 342 370 378 390 450 492 618 658	-843637869478
SPT(16)	1396890932960537957	0 56 90 186 194 230 252 260 276 284 306 342 350 446 480 536	-731096828382
SPT(16)	1396891263000128047	0 6 12 52 54 70 162 192 274 304 396 412 414 454 460 466	-401057238292
SPT(20)	1396891292204512123	0 6 24 34 54 88 90 96 160 166 258 264 328 334 336 370 390 400 418 424	-371852854216
SPT(18)	1396891351950317087	0 14 36 56 104 134 140 144 156 314 326 330 336 366 414 434 456 470	-312107049252
SPT(16)	1396891827127303207	0 12 42 84 100 106 136 154 192 210 240 246 262 304 334 346	163069936868
SPT(16)	1396892269047360203	0 30 56 84 98 150 210 216 308 314 374 426 440 468 494 524	604989993864
SPT(16)	1396892485239729581	0 6 32 42 48 68 120 138 140 158 210 230 236 246 272 278	821182363242
SPT(16)	1396892492153286353	0 30 56 86 96 144 198 210 224 236 290 338 348 378 404 434	828095920014
STPT(10)	1396893100118360417	0 2 42 44 72 74 102 104 144 146	1436060994078