Prime p₀= 1311782164993345007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 10 2 46 2 10 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 132 134 144 146
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: 146
Found by: vaughan
db: batch=77, k=14, 28 10 28 10 46 10

STPT(10)	1311781313557843979	0 2 12 14 90 92 168 170 180 182	-851435501028
STPT(10)	1311781383270014351	0 2 36 38 78 80 120 122 156 158	-781723330656
SPT(16)	1311781452193741523	0 14 36 56 60 74 98 170 294 366 390 404 408 428 450 464	-712799603484
STPT(10)	1311781545683865587	0 2 90 92 102 104 114 116 204 206	-619309479420
SPT(16)	1311782008648558589	0 2 20 38 48 50 72 134 198 260 282 284 294 312 330 332	-156344786418
STPT(10)	1311782113434853937	0 2 30 32 60 62 90 92 120 122	-51558491070
SPT(16)	1311782216165434691	0 6 30 32 60 108 116 168 170 222 230 278 306 308 332 338	51172089684
STPT(10)	1311782246791410167	0 2 54 56 72 74 90 92 144 146	81798065160
SPT(16)	1311782325498219361	0 12 36 76 78 180 246 282 286 322 388 490 492 532 556 568	160504874354
STPT(10)	1311782430139931081	0 2 96 98 138 140 180 182 276 278	265146586074
SPT(16)	1311782846225815297	0 24 52 60 132 136 154 166 180 192 210 214 286 294 322 346	681232470290