Prime p₀= 2559932790234815291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 76 2 58 2 10 2 (?)
a_n: 0 2 30 32 48 50 90 92 168 170 228 230 240 242
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: conf [MM]
db: batch=82, k=14, 28 16 40 76 58 10

SPT(16)	2559931620980178271	0 58 60 66 72 88 100 112 126 138 150 166 172 178 180 238	-1169254637020
STPT(12)	2559931666657191521	0 2 6 8 36 38 90 92 120 122 126 128	-1123577623770
SPT(16)	2559932075802484913	0 26 158 176 200 206 216 230 264 278 288 294 318 336 468 494	-714432330378
SPT(16)	2559932184229152653	0 8 86 90 116 126 128 156 200 228 230 240 266 270 348 356	-606005662638
STPT(10)	2559932518783263269	0 2 48 50 60 62 72 74 120 122	-271451552022
STPT(10)	2559932602566501287	0 2 30 32 72 74 114 116 144 146	-187668314004
STPT(10)	2559933788155253357	0 2 12 14 42 44 72 74 84 86	997920438066
SPT(16)	2559935017545040591	0 22 40 82 100 106 180 192 196 208 282 288 306 348 366 388	2227310225300
SPT(16)	2559935044298578109	0 8 38 48 62 78 120 140 150 170 212 228 242 252 282 290	2254063762818
STPT(10)	2559935059289870147	0 2 30 32 42 44 54 56 84 86	2269055054856
SPT(16)	2559935221321544137	0 70 102 106 186 222 240 252 310 322 340 376 456 460 492 562	2431086728846