Prime p₀= 2798651358727822751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 10 2 28 2 10 2 16 2 (?)
a_n: 0 2 30 32 96 98 108 110 138 140 150 152 168 170
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: 170
Found by: [SG-FC] hl
db: batch=82, k=14, 28 64 10 28 10 16

STPT(10)	2798649954413957417	0 2 54 56 72 74 90 92 144 146	-1404313865334
SPT(16)	2798650066183917149	0 2 12 42 80 92 138 140 180 182 228 240 278 308 318 320	-1292543905602
SPT(16)	2798650539523802489	0 18 60 80 102 138 152 168 194 210 224 260 282 302 344 362	-819204020262
STPT(10)	2798650584283630199	0 2 12 14 30 32 48 50 60 62	-774444192552
STPT(10)	2798650948255479167	0 2 42 44 132 134 222 224 264 266	-410472343584
SPT(16)	2798651357843118937	0 24 34 42 46 84 102 120 136 154 172 210 214 222 232 256	-884703814
STPT(10)	2798651900338007687	0 2 30 32 42 44 54 56 84 86	541610184936
TPT(14)	2798653171804682651	0 2 30 32 138 140 240 242 258 260 378 380 480 482	1813076859900
SPT(16)	2798653299598189139	0 14 38 54 68 78 80 162 170 252 254 264 278 294 318 332	1940870366388
STPT(10)	2798653570617021569	0 2 48 50 90 92 132 134 180 182	2211889198818
STPT(10)	2798653846874807027	0 2 30 32 42 44 54 56 84 86	2488146984276