Prime p₀= 1263587751083350739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 46 2 70 2 16 2 22 2 (?)
a_n: 0 2 48 50 90 92 138 140 210 212 228 230 252 254
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: 254
Found by: HenkM
db: batch=77, k=14, 46 40 46 70 16 22

STPT(10)	1263585906715511681	0 2 30 32 78 80 126 128 156 158	-1844367839058
SPT(16)	1263587010437495053	0 16 24 36 60 70 94 100 114 120 144 154 178 190 198 214	-740645855686
SPT(16)	1263587213286079777	0 16 36 64 82 120 166 184 222 240 286 324 342 370 390 406	-537797270962
TPT(14)	1263587300634980471	0 2 78 80 126 128 138 140 216 218 306 308 516 518	-450448370268
STPT(10)	1263587391809479937	0 2 54 56 72 74 90 92 144 146	-359273870802
STPT(10)	1263587690683313417	0 2 90 92 102 104 114 116 204 206	-60400037322
SPT(16)	1263588166113056117	0 12 20 36 42 60 80 90 152 162 182 200 206 222 230 242	415029705378
TPT(14)	1263588216040779371	0 2 30 32 66 68 150 152 156 158 198 200 306 308	464957428632
STPT(10)	1263589240402567649	0 2 18 20 30 32 42 44 60 62	1489319216910
STPT(10)	1263589578322997267	0 2 24 26 42 44 60 62 84 86	1827239646528
SPT(16)	1263589651685764061	0 8 18 38 66 80 110 116 120 126 156 170 198 218 228 236	1900602413322