Prime p₀= 1390851695522904911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 40 2 46 2 10 2 40 2 (?)
a_n: 0 2 60 62 126 128 168 170 216 218 228 230 270 272
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: 272
Found by: Theadalus
db: batch=77, k=14, 58 64 40 46 10 40

TPT(14)	1390850772515410109	0 2 12 14 78 80 192 194 198 200 222 224 288 290	-923007494802
STPT(10)	1390851176994751229	0 2 18 20 30 32 42 44 60 62	-518528153682
SPT(16)	1390851254479285633	0 40 66 100 124 138 180 184 210 214 256 270 294 328 354 394	-441043619278
SPT(16)	1390851285851176001	0 48 98 132 150 212 228 300 308 380 396 458 476 510 560 608	-409671728910
SPT(16)	1390851474013777021	0 10 16 36 78 96 120 138 208 226 250 268 310 330 336 346	-221509127890
SPT(16)	1390851589063714223	0 68 80 98 138 174 194 260 318 384 404 440 480 498 510 578	-106459190688
STPT(10)	1390851750488661257	0 2 30 32 42 44 54 56 84 86	54965756346
TPT(14)	1390851818909083259	0 2 78 80 222 224 252 254 288 290 318 320 372 374	123386178348
STPT(10)	1390851936472758437	0 2 30 32 42 44 54 56 84 86	240949853526
SPT(20)	1390852506296977421	0 78 90 180 222 242 266 300 306 312 386 392 398 432 456 476 518 608 620 698	810774072510
SPT(18)	1390852707913484833	0 10 34 70 78 154 168 190 234 304 348 370 384 460 468 504 528 538	1012390579922