Prime p₀= 1856549568769682597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 154 2 70 2 100 2 64 2 22 2 (?)
a_n: 0 2 24 26 180 182 252 254 354 356 420 422 444 446
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: 446
Found by: [AF>WildWildWest] RLDF
db: batch=79, k=14, 22 154 70 100 64 22

SPT(16)	1856548842967637099	0 12 42 50 72 102 108 150 212 254 260 290 312 320 350 362	-725802045498
STPT(10)	1856548851504878717	0 2 84 86 132 134 180 182 264 266	-717264803880
SPT(16)	1856548945744144579	0 12 72 114 180 184 300 334 408 442 558 562 628 670 730 742	-623025538018
TPT(14)	1856548990975179407	0 2 30 32 54 56 90 92 102 104 132 134 210 212	-577794503190
SPT(16)	1856549114967984313	0 16 48 70 90 148 154 174 220 240 246 304 324 346 378 394	-453801698284
SPT(16)	1856549219314154023	0 70 106 130 150 156 184 204 220 240 268 274 294 318 354 424	-349455528574
STPT(10)	1856549731837755917	0 2 30 32 42 44 54 56 84 86	163068073320
STPT(10)	1856549937734353247	0 2 12 14 42 44 72 74 84 86	368964670650
SPT(16)	1856549941449942247	0 34 42 46 54 84 90 130 246 286 292 322 330 334 342 376	372680259650
SPT(16)	1856550125982738493	0 4 6 24 48 76 90 114 130 154 168 196 220 238 240 244	557213055896
SPT(13)	1856550415998530933	0 36 66 108 156 168 198 228 240 288 330 360 396	847228848336