Prime p₀= 2991539165105526617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 64 2 28 2 10 2 40 2 (?)
a_n: 0 2 30 32 84 86 150 152 180 182 192 194 234 236
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: 236
Found by: Orange Kid
db: batch=82, k=14, 28 52 64 28 10 40

SPT(18)	2991537413624712679	0 18 48 58 84 132 172 174 178 234 238 240 280 328 354 364 394 412	-1751480813938
SPT(16)	2991537695341479419	0 24 42 48 122 132 224 258 284 318 410 420 494 500 518 542	-1469764047198
STPT(10)	2991538277861910977	0 2 54 56 72 74 90 92 144 146	-887243615640
STPT(10)	2991538452158665811	0 2 78 80 108 110 138 140 216 218	-712946860806
SPT(16)	2991538680173412727	0 24 46 120 124 154 172 186 190 204 222 252 256 330 352 376	-484932113890
STPT(10)	2991538768803722321	0 2 30 32 60 62 90 92 120 122	-396301804296
SPT(16)	2991539515470873589	0 4 24 84 124 144 178 180 208 210 244 264 304 364 384 388	350365346972
STPT(10)	2991540073836240929	0 2 30 32 60 62 90 92 120 122	908730714312
SPT(16)	2991540119466681283	0 18 54 88 106 154 186 198 256 268 300 348 366 400 436 454	954361154666
TPT(14)	2991540349683438731	0 2 78 80 90 92 120 122 138 140 168 170 180 182	1184577912114
STPT(12)	2991540349683438809	0 2 12 14 42 44 60 62 90 92 102 104	1184577912192