Prime p₀= 1071986939348217257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 58 2 10 2 154 2 28 2 22 2 (?)
a_n: 0 2 162 164 222 224 234 236 390 392 420 422 444 446
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: Theadalus
db: batch=76, k=14, 160 58 10 154 28 22

SPT(16)	1071986342815272541	0 16 18 30 48 90 96 118 150 172 178 220 238 250 252 268	-596532944716
STPT(10)	1071986419840854377	0 2 30 32 72 74 114 116 144 146	-519507362880
TPT(16)	1071986485058696489	0 2 72 74 78 80 102 104 252 254 258 260 330 332 372 374	-454289520768
SPT(16)	1071986537537643107	0 2 14 50 162 174 186 206 210 230 242 254 366 402 414 416	-401810574150
SPT(16)	1071986745550195757	0 20 36 66 116 140 156 176 240 260 276 300 350 380 396 416	-193798021500
SPT(16)	1071986928637512661	0 42 46 100 112 132 160 168 190 198 226 246 258 312 316 358	-10710704596
STPT(10)	1071987019560409571	0 2 36 38 108 110 180 182 216 218	80212192314
SPT(16)	1071987204144506003	0 14 48 50 54 60 78 128 186 236 254 260 264 266 300 314	264796288746
SPT(16)	1071987693228559967	0 6 14 30 60 66 72 74 222 224 230 236 266 282 290 296	753880342710
SPT(16)	1071988154945708863	0 18 48 88 90 144 150 178 276 304 310 364 366 406 436 454	1215597491606
STPT(10)	1071988253790496541	0 2 36 38 78 80 120 122 156 158	1314442279284