Prime p₀= 800509208826406661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 10 2 4 2 22 2 64 2 (?)
a_n: 0 2 108 110 138 140 150 152 156 158 180 182 246 248
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: 248
Found by: matsu_pl
db: batch=73, k=14, 106 28 10 4 22 64

STPT(10)	800507485586760839	0 2 18 20 30 32 42 44 60 62	-1723239645822
SPT(18)	800508244417672099	0 18 28 60 70 114 150 154 184 234 264 268 304 348 358 390 400 418	-964408734562
SPT(13)	800508958040906053	0 18 30 60 78 108 114 120 150 168 198 210 228	-250785500608
STPT(10)	800509009309534709	0 2 18 20 30 32 42 44 60 62	-199516871952
SPT(16)	800509074432807563	0 14 24 36 80 120 134 140 174 180 194 234 278 290 300 314	-134393599098
SPT(16)	800509107982910017	0 24 84 90 112 126 130 136 150 156 160 174 196 202 262 286	-100843496644
STPT(12)	800509740543360971	0 2 6 8 48 50 138 140 180 182 186 188	531716954310
STPT(10)	800510084663638757	0 2 42 44 72 74 102 104 144 146	875837232096
STPT(10)	800510252822559701	0 2 36 38 78 80 120 122 156 158	1043996153040
SPT(16)	800510433572923669	0 22 40 58 70 112 138 142 150 154 180 222 234 252 270 292	1224746517008
SPT(16)	800510729773955231	0 30 120 122 162 198 308 318 350 360 470 506 546 548 638 668	1520947548570