Prime p₀= 1586005343469460799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 52 2 64 2 58 2 10 2 (?)
a_n: 0 2 12 14 18 20 72 74 138 140 198 200 210 212
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: 212
Found by: Icecold
db: batch=78, k=14, 10 4 52 64 58 10

TPT(14)	1586003368699789967	0 2 72 74 114 116 222 224 300 302 312 314 342 344	-1974769670832
STPT(10)	1586004077674983467	0 2 54 56 72 74 90 92 144 146	-1265794477332
SPT(16)	1586004281953371191	0 20 30 36 42 66 192 216 242 266 392 416 422 428 438 458	-1061516089608
STPT(10)	1586004845624325911	0 2 36 38 78 80 120 122 156 158	-497845134888
SPT(16)	1586004845815919413	0 70 84 96 106 114 124 148 216 240 250 258 268 280 294 364	-497653541386
STPT(10)	1586005153387508639	0 2 30 32 60 62 90 92 120 122	-190081952160
TPT(14)	1586005777341492509	0 2 30 32 78 80 90 92 132 134 198 200 252 254	433872031710
SPT(18)	1586005887262392209	0 8 32 48 92 144 210 242 278 294 330 362 428 480 524 540 564 572	543792931410
SPT(16)	1586006254896569083	0 30 64 78 88 106 118 120 154 156 168 186 196 210 244 274	911427108284
SPT(16)	1586006543711917903	0 58 66 90 136 154 184 186 268 270 300 318 364 388 396 454	1200242457104
TPT(14)	1586006612218236581	0 2 6 8 60 62 90 92 156 158 198 200 258 260	1268748775782