Prime p₀= 1518976219115952659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 106 2 70 2 34 2 28 2 (?)
a_n: 0 2 72 74 102 104 210 212 282 284 318 320 348 350
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: 350
Found by: xii5ku
db: batch=78, k=14, 70 28 106 70 34 28

STPT(10)	1518973755886452947	0 2 42 44 72 74 102 104 144 146	-2463229499712
TPT(14)	1518973804983652487	0 2 42 44 54 56 114 116 120 122 162 164 192 194	-2414132300172
STPT(10)	1518974014695570581	0 2 36 38 78 80 120 122 156 158	-2204420382078
SPT(16)	1518974216864911019	0 2 14 20 24 78 90 104 108 122 134 188 192 198 210 212	-2002251041640
STPT(10)	1518975738127406129	0 2 18 20 30 32 42 44 60 62	-480988546530
SPT(16)	1518975822105426079	0 24 28 42 48 64 94 160 192 258 288 304 310 324 328 352	-397010526580
SPT(18)	1518976356021017783	0 8 14 30 38 50 80 128 156 218 246 294 324 336 344 360 366 374	136905065124
SPT(16)	1518976477871959313	0 20 44 54 78 86 198 210 224 236 348 356 380 390 414 434	258756006654
SPT(16)	1518976573542734279	0 24 42 54 138 158 180 252 260 332 354 374 458 470 488 512	354426781620
STPT(10)	1518976976003214197	0 2 30 32 42 44 54 56 84 86	756887261538
SPT(16)	1518978061350952303	0 70 90 136 154 234 246 294 310 358 370 450 468 514 534 604	1842234999644