Prime p₀= 1249332286480130141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 118 2 52 2 94 2 10 2 10 2 (?)
a_n: 0 2 126 128 246 248 300 302 396 398 408 410 420 422
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: mikey
db: batch=77, k=14, 124 118 52 94 10 10

SPT(16)	1249330750279216697	0 14 30 36 80 92 110 114 122 126 144 156 200 206 222 236	-1536200913444
STPT(10)	1249330932736302551	0 2 36 38 78 80 120 122 156 158	-1353743827590
STPT(10)	1249331209739226701	0 2 6 8 48 50 90 92 96 98	-1076740903440
STPT(10)	1249331362046953481	0 2 6 8 18 20 30 32 36 38	-924433176660
STPT(10)	1249331618098649021	0 2 96 98 138 140 180 182 276 278	-668381481120
SPT(16)	1249331961066786419	0 14 54 72 92 168 218 228 254 264 314 390 410 428 468 482	-325413343722
STPT(10)	1249332427497234251	0 2 78 80 108 110 138 140 216 218	141017104110
STPT(10)	1249333088883032339	0 2 18 20 30 32 42 44 60 62	802402902198
SPT(16)	1249333113357824669	0 14 18 32 42 48 114 128 144 158 224 230 240 254 258 272	826877694528
SPT(16)	1249333121905180931	0 48 56 62 108 128 146 182 246 282 300 320 366 372 380 428	835425050790
STPT(10)	1249333229544424439	0 2 18 20 30 32 42 44 60 62	943064294298