Prime p₀= 2412590927796100769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 46 2 130 2 34 2 40 2 (?)
a_n: 0 2 12 14 42 44 90 92 222 224 258 260 300 302
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: 302
Found by: conf [MM]
db: batch=82, k=14, 10 28 46 130 34 40

SPT(16)	2412589325027784173	0 20 36 66 68 110 138 140 144 146 174 216 218 248 264 284	-1602768316596
SPT(16)	2412589551484902061	0 10 108 136 172 180 186 220 228 262 268 276 312 340 438 448	-1376311198708
SPT(16)	2412589694550096049	0 10 24 58 60 88 108 112 150 154 174 202 204 238 252 262	-1233246004720
SPT(16)	2412589796620632491	0 20 32 98 126 132 162 218 240 296 326 332 360 426 438 458	-1131175468278
STPT(10)	2412589799481003809	0 2 42 44 60 62 78 80 120 122	-1128315096960
SPT(16)	2412590726047537577	0 2 20 42 54 80 84 114 122 152 156 182 194 216 234 236	-201748563192
SPT(16)	2412591023753319557	0 30 42 74 140 144 180 194 210 224 260 264 330 362 374 404	95957218788
STPT(10)	2412591082421525981	0 2 66 68 108 110 150 152 216 218	154625425212
SPT(16)	2412591339376953073	0 10 28 30 58 118 150 174 184 208 240 300 328 330 348 358	411580852304
STPT(12)	2412591779472715409	0 2 18 20 30 32 60 62 72 74 90 92	851676614640
SPT(16)	2412592075619100911	0 2 32 50 60 180 198 200 240 242 260 380 390 408 438 440	1147823000142