Prime p₀= 1386486867067347431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 244 2 58 2 70 2 160 2 4 2 148 2 (?)
a_n: 0 2 246 248 306 308 378 380 540 542 546 548 696 698
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: 698
Found by: Fornax
db: batch=77, k=14, 244 58 70 160 4 148

SPT(16)	1386485383852682387	0 30 32 42 96 150 170 186 290 306 326 380 434 444 446 476	-1483214665044
STPT(10)	1386485386663081217	0 2 60 62 102 104 144 146 204 206	-1480404266214
SPT(16)	1386485478814246817	0 30 86 122 132 146 152 156 416 420 426 440 450 486 542 572	-1388253100614
SPT(16)	1386485515152578039	0 12 24 30 42 78 110 134 168 192 224 260 272 278 290 302	-1351914769392
SPT(16)	1386486080261012389	0 22 52 72 112 114 162 168 214 220 268 270 310 330 360 382	-786806335042
SPT(16)	1386486614993321893	0 34 60 84 88 126 160 174 190 204 238 276 280 304 330 364	-252074025538
TPT(14)	1386487012868331467	0 2 30 32 42 44 90 92 132 134 162 164 240 242	145800984036
SPT(16)	1386487028670333431	0 2 36 62 140 156 188 210 218 240 272 288 366 392 426 428	161602986000
STPT(10)	1386487366544120567	0 2 24 26 42 44 60 62 84 86	499476773136
SPT(16)	1386487593554267563	0 6 66 106 126 150 154 168 196 210 214 238 258 298 358 364	726486920132
SPT(16)	1386487749659256151	0 10 46 66 102 136 172 186 286 300 336 370 406 426 462 472	882591908720