Prime p₀= 2705002549522863011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 154 2 22 2 34 2 40 2 46 2 (?)
a_n: 0 2 30 32 186 188 210 212 246 248 288 290 336 338
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: 338
Found by: Groo
db: batch=82, k=14, 28 154 22 34 40 46

STPT(10)	2705000612952570587	0 2 54 56 72 74 90 92 144 146	-1936570292424
STPT(10)	2705001190601364617	0 2 30 32 42 44 54 56 84 86	-1358921498394
STPT(10)	2705001204893888597	0 2 12 14 72 74 132 134 144 146	-1344628974414
SPT(16)	2705001342017460313	0 28 36 90 100 106 120 156 190 226 240 246 256 310 318 346	-1207505402698
SPT(16)	2705001369587176801	0 30 58 66 70 100 102 148 150 196 198 228 232 240 268 298	-1179935686210
TPT(14)	2705002265851542731	0 2 6 8 60 62 90 92 180 182 198 200 240 242	-283671320280
STPT(10)	2705003249582386601	0 2 36 38 78 80 120 122 156 158	700059523590
STPT(10)	2705003457313533317	0 2 30 32 42 44 54 56 84 86	907790670306
SPT(16)	2705003580992374099	0 48 88 124 130 172 180 190 312 322 330 372 378 414 454 502	1031469511088
SPT(16)	2705003596630150489	0 42 64 72 144 168 220 234 238 252 304 328 400 408 430 472	1047107287478
STPT(10)	2705003749419910847	0 2 30 32 42 44 54 56 84 86	1199897047836