Prime p₀= 830318382800168111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 4 2 82 2 88 2 184 2 10 2 (?)
a_n: 0 2 120 122 126 128 210 212 300 302 486 488 498 500
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: 500
Found by: RFGuy_KCCO
db: batch=73, k=14, 118 4 82 88 184 10

STPT(10)	830317632592353317	0 2 24 26 42 44 60 62 84 86	-750207814794
SPT(16)	830317678694599819	0 12 34 40 52 168 210 274 348 412 454 570 582 588 610 622	-704105568292
SPT(16)	830317758153213167	0 24 50 56 62 102 104 126 200 222 224 264 270 276 302 326	-624646954944
SPT(16)	830317866389189653	0 76 90 100 126 150 156 208 228 280 286 310 336 346 360 436	-516410978458
STPT(10)	830318197581521531	0 2 36 38 78 80 120 122 156 158	-185218646580
SPT(16)	830318243524768549	0 28 40 48 70 90 108 118 210 220 238 258 280 288 300 328	-139275399562
SPT(16)	830318431365343189	0 10 12 34 52 54 84 90 112 118 148 150 168 190 192 202	48565175078
SPT(16)	830318444623848979	0 24 30 64 112 192 240 304 330 394 442 522 570 604 610 634	61823680868
TPT(14)	830318545549204037	0 2 30 32 42 44 60 62 174 176 210 212 264 266	162749035926
SPT(16)	830318620973519933	0 50 66 78 84 120 126 146 168 188 194 230 236 248 264 314	238173351822
STPT(10)	830318649072812981	0 2 6 8 48 50 90 92 96 98	266272644870