Prime p₀= 1309512041322975599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 70 2 178 2 136 2 10 2 (?)
a_n: 0 2 18 20 30 32 102 104 282 284 420 422 432 434
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: 434
Found by: stoneageman
db: batch=77, k=14, 16 10 70 178 136 10

SPT(16)	1309510760301533869	0 4 18 34 58 100 148 190 378 420 468 510 534 550 564 568	-1281021441730
STPT(10)	1309511427842015681	0 2 6 8 48 50 90 92 96 98	-613480959918
SPT(16)	1309511599839301457	0 14 36 60 92 114 132 176 180 224 242 264 296 320 342 356	-441483674142
SPT(16)	1309511873861495933	0 30 66 80 180 206 236 374 426 564 594 620 720 734 770 800	-167461479666
SPT(16)	1309511880106992113	0 6 14 24 30 38 126 200 264 338 426 434 440 450 458 464	-161215983486
STPT(10)	1309511950681529981	0 2 36 38 138 140 240 242 276 278	-90641445618
SPT(16)	1309512121316480251	0 16 30 46 48 52 58 66 112 120 126 130 132 148 162 178	79993504652
STPT(10)	1309512133062182261	0 2 36 38 78 80 120 122 156 158	91739206662
STPT(10)	1309512373370844257	0 2 24 26 42 44 60 62 84 86	332047868658
STPT(10)	1309512482138774699	0 2 42 44 60 62 78 80 120 122	440815799100
SPT(16)	1309512694312719847	0 4 30 52 54 60 82 96 100 114 136 142 144 166 192 196	652989744248