Prime p₀= 2085639867823572419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 106 2 16 2 10 2 (?)
a_n: 0 2 60 62 72 74 102 104 210 212 228 230 240 242
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: 242
Found by: Coleslaw
db: batch=80, k=14, 58 10 28 106 16 10

STPT(10)	2085638851157344097	0 2 24 26 42 44 60 62 84 86	-1016666228322
SPT(13)	2085639325468419661	0 6 12 30 156 180 336 492 516 642 660 666 672	-542355152758
SPT(16)	2085639357217182607	0 10 60 114 126 154 156 184 282 310 312 340 352 406 456 466	-510606389812
TPT(14)	2085639387823423571	0 2 18 20 96 98 168 170 228 230 276 278 360 362	-480000148848
SPT(16)	2085639582301308139	0 40 52 72 84 124 130 142 150 162 168 208 220 240 252 292	-285522264280
STPT(10)	2085639800643266771	0 2 36 38 78 80 120 122 156 158	-67180305648
SPT(16)	2085639879152502653	0 14 30 38 50 66 78 80 114 116 128 144 156 164 180 194	11328930234
SPT(16)	2085639921038489423	0 26 56 66 80 116 126 138 158 170 180 216 230 240 270 296	53214917004
STPT(10)	2085640396694299967	0 2 30 32 42 44 54 56 84 86	528870727548
SPT(16)	2085640665863174401	0 16 46 88 100 132 150 156 232 238 256 288 300 342 372 388	798039601982
TPT(14)	2085640876286573537	0 2 24 26 42 44 150 152 162 164 180 182 204 206	1008463001118