Prime p₀= 2121927288534970799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 58 2 10 2 4 2 (?)
a_n: 0 2 42 44 78 80 120 122 180 182 192 194 198 200
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: 200
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 40 34 40 58 10 4

SPT(16)	2121926232665507689	0 4 54 64 82 94 100 102 232 234 240 252 270 280 330 334	-1055869463110
SPT(16)	2121926482116574151	0 2 18 36 42 56 62 68 120 126 132 146 152 170 186 188	-806418396648
STPT(10)	2121926775433074287	0 2 12 14 42 44 72 74 84 86	-513101896512
SPT(16)	2121926819805003017	0 30 32 60 74 80 92 102 104 114 126 132 146 174 176 206	-468729967782
STPT(10)	2121926880818729357	0 2 90 92 102 104 114 116 204 206	-407716241442
SPT(16)	2121926908238969789	0 20 44 74 84 90 110 114 128 132 152 158 168 198 222 242	-380296001010
SPT(16)	2121927346032204239	0 12 20 48 78 174 198 228 254 284 308 404 434 462 470 482	57497233440
SPT(16)	2121927382725483469	0 22 30 78 100 142 154 160 162 168 180 222 244 292 300 322	94190512670
SPT(16)	2121927452609529161	0 32 50 60 80 98 182 198 302 318 402 420 440 450 468 500	164074558362
STPT(10)	2121928021108110329	0 2 48 50 210 212 372 374 420 422	732573139530
SPT(16)	2121928309563916163	0 30 44 78 104 140 146 168 206 228 234 270 296 330 344 374	1021028945364