Prime p₀= 2409591768880847561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 16 2 148 2 100 2 106 2 (?)
a_n: 0 2 36 38 90 92 108 110 258 260 360 362 468 470
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: 470
Found by: [SG-FC] hl
db: batch=82, k=14, 34 52 16 148 100 106

SPT(16)	2409589976460702103	0 6 40 76 78 96 106 118 138 150 160 178 180 216 250 256	-1792420145458
SPT(18)	2409590431630039309	0 10 70 108 138 168 192 214 234 298 318 340 364 394 424 462 522 532	-1337250808252
STPT(10)	2409590550992321861	0 2 90 92 168 170 246 248 336 338	-1217888525700
SPT(13)	2409590785982187781	0 12 42 72 78 102 120 138 162 168 198 228 240	-982898659780
STPT(10)	2409591399514349747	0 2 54 56 72 74 90 92 144 146	-369366497814
STPT(10)	2409591474422373251	0 2 6 8 48 50 90 92 96 98	-294458474310
SPT(16)	2409591993870816823	0 6 24 28 40 90 118 150 154 186 214 264 276 280 298 304	224989969262
STPT(10)	2409592125048610037	0 2 30 32 42 44 54 56 84 86	356167762476
SPT(16)	2409592901037426581	0 42 50 60 66 80 96 102 116 122 138 152 158 168 176 218	1132156579020
STPT(10)	2409593005728520607	0 2 30 32 72 74 114 116 144 146	1236847673046
STPT(10)	2409593117762333051	0 2 6 8 48 50 90 92 96 98	1348881485490