Prime p₀= 1412156058696843737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 40 2 28 2 10 2 34 2 (?)
a_n: 0 2 12 14 60 62 102 104 132 134 144 146 180 182
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: 182
Found by: Paul
db: batch=78, k=14, 10 46 40 28 10 34

STPT(10)	1412155672410734369	0 2 18 20 30 32 42 44 60 62	-386286109368
STPT(10)	1412155755711986099	0 2 42 44 90 92 138 140 180 182	-302984857638
SPT(16)	1412155765251100253	0 18 48 60 66 86 126 140 216 230 270 290 296 308 338 356	-293445743484
SPT(16)	1412155784406547457	0 12 14 102 114 120 162 170 186 194 236 242 254 342 344 356	-274290296280
STPT(12)	1412155876737401837	0 2 60 62 84 86 240 242 264 266 324 326	-181959441900
SPT(16)	1412156053849105141	0 76 90 100 106 126 148 156 250 258 280 300 306 316 330 406	-4847738596
STPT(10)	1412156064190346549	0 2 42 44 90 92 138 140 180 182	5493502812
SPT(16)	1412156241735284777	0 42 50 56 84 110 116 140 216 240 246 272 300 306 314 356	183038441040
SPT(16)	1412156357602171457	0 72 96 110 122 210 240 246 266 272 302 390 402 416 440 512	298905327720
SPT(16)	1412156551949261231	0 2 42 72 80 92 150 222 236 308 366 378 386 416 456 458	493252417494
STPT(10)	1412156589575277317	0 2 30 32 72 74 114 116 144 146	530878433580