Prime p₀= 1253390602852398497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 46 2 10 2 106 2 58 2 (?)
a_n: 0 2 42 44 54 56 102 104 114 116 222 224 282 284
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: 284
Found by: HenkM
db: batch=77, k=14, 40 10 46 10 106 58

STPT(10)	1253389775882841197	0 2 42 44 72 74 102 104 144 146	-826969557300
TPT(14)	1253390227551077087	0 2 24 26 90 92 132 134 162 164 222 224 414 416	-375301321410
TPT(14)	1253390314460723639	0 2 12 14 48 50 102 104 228 230 270 272 300 302	-288391674858
SPT(16)	1253390324120535001	0 22 30 42 58 70 126 136 162 172 228 240 256 268 276 298	-278731863496
SPT(16)	1253390328146946697	0 4 102 112 114 142 144 154 180 190 192 220 222 232 330 334	-274705451800
SPT(16)	1253390587045129523	0 6 8 14 20 26 138 156 158 176 288 294 300 306 308 314	-15807268974
STPT(10)	1253391286303794731	0 2 36 38 78 80 120 122 156 158	683451396234
STPT(10)	1253391565670923037	0 2 60 62 72 74 84 86 144 146	962818524540
SPT(16)	1253391627113157683	0 20 56 68 134 140 216 228 296 308 384 390 456 468 504 524	1024260759186
SPT(16)	1253391654326675477	0 6 14 26 104 110 132 152 204 224 246 252 330 342 350 356	1051474276980
SPT(16)	1253391863525732261	0 2 108 116 122 128 200 218 240 258 330 336 342 350 456 458	1260673333764