Prime p₀= 2806576036241005529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 106 2 130 2 34 2 28 2 (?)
a_n: 0 2 12 14 72 74 180 182 312 314 348 350 378 380
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: 380
Found by: JayPi
db: batch=82, k=14, 10 58 106 130 34 28

SPT(16)	2806573946591596453	0 30 70 84 90 96 100 114 136 150 154 160 166 180 220 250	-2089649409076
STPT(10)	2806574012997488099	0 2 42 44 60 62 78 80 120 122	-2023243517430
SPT(16)	2806574584059269873	0 6 80 108 120 146 150 176 288 314 318 344 356 384 458 464	-1452181735656
STPT(10)	2806574594968987259	0 2 18 20 30 32 42 44 60 62	-1441272018270
SPT(16)	2806574681506890689	0 24 38 50 62 90 108 132 170 194 212 240 252 264 278 302	-1354734114840
SPT(16)	2806574893561777763	0 14 38 84 116 174 230 258 326 354 410 468 500 546 570 584	-1142679227766
STPT(10)	2806576397035482737	0 2 30 32 42 44 54 56 84 86	360794477208
STPT(10)	2806576580536805771	0 2 36 38 78 80 120 122 156 158	544295800242
STPT(10)	2806576918268356019	0 2 42 44 90 92 138 140 180 182	882027350490
SPT(16)	2806577119789329361	0 18 30 60 76 90 100 102 166 168 178 192 208 238 250 268	1083548323832
STPT(10)	2806577310898474871	0 2 6 8 18 20 30 32 36 38	1274657469342