Prime p₀= 2475746458346048609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 40 2 16 2 10 2 16 2 (?)
a_n: 0 2 12 14 78 80 120 122 138 140 150 152 168 170
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, 10 64 40 16 10 16

TPT(14)	2475744831766616939	0 2 12 14 48 50 60 62 138 140 222 224 282 284	-1626579431670
STPT(10)	2475744954750791147	0 2 30 32 72 74 114 116 144 146	-1503595257462
STPT(10)	2475745396530495119	0 2 18 20 30 32 42 44 60 62	-1061815553490
STPT(10)	2475745555202988329	0 2 48 50 60 62 72 74 120 122	-903143060280
SPT(16)	2475745731212753471	0 26 42 62 86 96 128 132 146 150 182 192 216 236 252 278	-727133295138
STPT(10)	2475745998652959647	0 2 24 26 42 44 60 62 84 86	-459693088962
SPT(16)	2475746462049896461	0 30 40 52 72 82 112 132 136 156 186 196 216 228 238 268	3703847852
STPT(10)	2475746495721025067	0 2 30 32 72 74 114 116 144 146	37374976458
STPT(10)	2475746764816650887	0 2 42 44 72 74 102 104 144 146	306470602278
SPT(16)	2475746902850961167	0 36 72 156 194 204 224 240 266 282 302 312 350 434 470 506	444504912558
SPT(16)	2475746965213637069	0 8 14 132 162 180 224 240 362 378 422 440 470 588 594 602	506867588460