Prime p₀= 2118797481590829911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 76 2 28 2 58 2 22 2 (?)
a_n: 0 2 18 20 48 50 126 128 156 158 216 218 240 242
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: ChUcK
db: batch=80, k=14, 16 28 76 28 58 22

TPT(14)	2118796836808468511	0 2 6 8 36 38 60 62 78 80 126 128 168 170	-644782361400
SPT(16)	2118797089514443769	0 32 48 104 132 138 170 188 264 282 314 320 348 404 420 452	-392076386142
STPT(10)	2118797242986702329	0 2 18 20 60 62 102 104 120 122	-238604127582
TPT(14)	2118797271862544597	0 2 60 62 162 164 210 212 252 254 342 344 354 356	-209728285314
SPT(16)	2118797372339087029	0 10 52 64 162 174 184 228 244 288 298 310 408 420 462 472	-109251742882
STPT(10)	2118797440809067517	0 2 30 32 72 74 114 116 144 146	-40781762394
STPT(10)	2118797900111191601	0 2 30 32 78 80 126 128 156 158	418520361690
STPT(10)	2118798106904072219	0 2 132 134 150 152 168 170 300 302	625313242308
STPT(10)	2118798191472285677	0 2 54 56 72 74 90 92 144 146	709881455766
SPT(16)	2118798735749596333	0 10 24 58 66 114 144 166 198 220 250 298 306 340 354 364	1254158766422
STPT(10)	2118798971614566287	0 2 54 56 72 74 90 92 144 146	1490023736376