Prime p₀= 1814225726236835687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 34 2 88 2 40 2 28 2 (?)
a_n: 0 2 12 14 114 116 150 152 240 242 282 284 312 314
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: 314
Found by: Orange Kid
db: batch=79, k=14, 10 100 34 88 40 28

SPT(16)	1814224370977534391	0 78 80 140 150 156 170 186 350 366 380 386 396 456 458 536	-1355259301296
STPT(10)	1814224767040828739	0 2 42 44 60 62 78 80 120 122	-959196006948
TPT(14)	1814224948785154469	0 2 12 14 42 44 48 50 180 182 198 200 258 260	-777451681218
SPT(16)	1814225086617435179	0 2 78 80 102 168 188 254 288 354 374 440 462 464 540 542	-639619400508
STPT(10)	1814225432581821977	0 2 42 44 132 134 222 224 264 266	-293655013710
SPT(16)	1814225587295112401	0 20 42 86 116 146 176 180 218 222 252 282 312 356 378 398	-138941723286
SPT(16)	1814225827248382111	0 18 28 70 82 142 156 160 168 172 186 246 258 300 310 328	101011546424
SPT(16)	1814225842887069037	0 4 10 46 66 84 100 112 114 126 142 160 180 216 222 226	116650233350
STPT(10)	1814225845571510807	0 2 42 44 72 74 102 104 144 146	119334675120
STPT(10)	1814226027252966527	0 2 30 32 72 74 114 116 144 146	301016130840
SPT(16)	1814226182695300937	0 2 12 30 80 120 150 162 182 194 224 264 314 332 342 344	456458465250