Prime p₀= 1245472772522472521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 52 2 16 2 46 2 130 2 10 2 (?)
a_n: 0 2 156 158 210 212 228 230 276 278 408 410 420 422
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: 422
Found by: Cruncher Pete
db: batch=77, k=14, 154 52 16 46 130 10

TPT(14)	1245472257667640489	0 2 12 14 48 50 60 62 90 92 102 104 240 242	-514854832032
STPT(10)	1245472306140531101	0 2 6 8 48 50 90 92 96 98	-466381941420
STPT(10)	1245472332876109631	0 2 126 128 138 140 150 152 276 278	-439646362890
SPT(16)	1245472560427364747	0 30 60 74 90 102 104 126 230 252 254 266 282 296 326 356	-212095107774
STPT(10)	1245472737177717029	0 2 18 20 60 62 102 104 120 122	-35344755492
SPT(16)	1245472762443953089	0 60 72 78 114 148 154 160 252 258 264 298 334 340 352 412	-10078519432
SPT(16)	1245472805454550159	0 42 58 102 132 144 148 300 352 504 508 520 550 594 610 652	32932077638
SPT(16)	1245472878842497457	0 42 50 104 110 140 150 176 180 206 216 246 252 306 314 356	106320024936
SPT(16)	1245473044509556453	0 16 34 48 70 90 118 126 148 156 184 204 226 240 258 274	271987083932
SPT(16)	1245473655966721063	0 16 24 120 126 154 186 256 288 358 390 418 424 520 528 544	883444248542
STPT(10)	1245474096326234441	0 2 6 8 18 20 30 32 36 38	1323803761920