Prime p₀= 2199126989124639389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 34 2 28 2 82 2 4 2 (?)
a_n: 0 2 60 62 102 104 138 140 168 170 252 254 258 260
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: 260
Found by: JayPi
db: batch=81, k=14, 58 40 34 28 82 4

SPT(16)	2199125114933063231	0 26 66 188 206 228 258 266 270 278 308 330 348 470 510 536	-1874191576158
SPT(16)	2199125381893632541	0 10 46 70 126 138 166 178 228 240 268 280 336 360 396 406	-1607231006848
SPT(16)	2199125612680012477	0 10 30 40 82 132 136 180 196 240 244 294 336 346 366 376	-1376444626912
SPT(16)	2199126195925091233	0 16 36 40 66 100 124 154 246 276 300 334 360 364 384 400	-793199548156
STPT(10)	2199126588115277669	0 2 30 32 60 62 90 92 120 122	-401009361720
STPT(10)	2199126645277894427	0 2 30 32 42 44 54 56 84 86	-343846744962
STPT(10)	2199127345694318729	0 2 18 20 30 32 42 44 60 62	356569679340
SPT(16)	2199127408586306827	0 46 54 76 94 124 180 210 226 256 312 342 360 382 390 436	419461667438
STPT(10)	2199127504127616287	0 2 30 32 42 44 54 56 84 86	515002976898
STPT(10)	2199128327148975119	0 2 18 20 30 32 42 44 60 62	1338024335730
SPT(16)	2199128641079740561	0 22 42 52 60 66 78 88 90 100 112 118 126 136 156 178	1651955101172