Prime p₀= 2899798132385657537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 34 2 88 2 58 2 22 2 (?)
a_n: 0 2 12 14 24 26 60 62 150 152 210 212 234 236
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: 236
Found by: [SG-FC] hl
db: batch=82, k=14, 10 10 34 88 58 22

SPT(16)	2899796701375321039	0 28 34 54 88 90 118 120 178 180 208 210 244 264 270 298	-1431010336498
STPT(10)	2899796882259682589	0 2 18 20 30 32 42 44 60 62	-1250125974948
STPT(10)	2899797135467678009	0 2 12 14 90 92 168 170 180 182	-996917979528
SPT(18)	2899797567958932637	0 16 24 40 42 52 64 96 142 204 250 282 294 304 306 322 330 346	-564426724900
SPT(16)	2899797685266856741	0 6 70 82 108 148 180 258 280 358 390 430 456 468 532 538	-447118800796
STPT(10)	2899797846615850811	0 2 36 38 78 80 120 122 156 158	-285769806726
STPT(10)	2899798450290246677	0 2 12 14 72 74 132 134 144 146	317904589140
TPT(14)	2899798662972850097	0 2 42 44 54 56 132 134 222 224 270 272 324 326	530587192560
STPT(10)	2899798710663332741	0 2 6 8 48 50 90 92 96 98	578277675204
STPT(10)	2899798818263791859	0 2 18 20 30 32 42 44 60 62	685878134322
STPT(10)	2899798941441565937	0 2 54 56 72 74 90 92 144 146	809055908400