Prime p₀= 1586141147380317257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 22 2 4 2 22 2 (?)
a_n: 0 2 42 44 72 74 90 92 114 116 120 122 144 146
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: xii5ku
db: batch=78, k=14, 40 28 16 22 4 22

STPT(10)	1586140025574719777	0 2 30 32 42 44 54 56 84 86	-1121805597480
SPT(20)	1586140291477839509	0 14 48 62 68 140 152 158 180 210 242 272 294 300 312 384 390 404 438 452	-855902477748
SPT(16)	1586140317903483061	0 16 52 58 70 82 88 108 130 150 156 168 180 186 222 238	-829476834196
STPT(12)	1586140414817106299	0 2 48 50 132 134 138 140 222 224 270 272	-732563210958
STPT(10)	1586140467671754851	0 2 36 38 108 110 180 182 216 218	-679708562406
STPT(10)	1586140538498021291	0 2 30 32 60 62 90 92 120 122	-608882295966
SPT(16)	1586141246913477461	0 8 30 32 72 152 168 182 198 212 228 308 348 350 372 380	99533160204
STPT(10)	1586141474725214117	0 2 12 14 42 44 72 74 84 86	327344896860
SPT(16)	1586141928444234611	0 36 42 66 102 108 162 170 198 206 260 266 302 326 332 368	781063917354
STPT(10)	1586141937440761397	0 2 54 56 72 74 90 92 144 146	790060444140
SPT(16)	1586142002444425099	0 18 72 142 150 168 192 204 268 280 304 322 330 400 454 472	855064107842