Prime p₀= 2690460715998857651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 16 2 40 2 16 2 (?)
a_n: 0 2 36 38 48 50 90 92 108 110 150 152 168 170
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: Asgard2022
db: batch=82, k=14, 34 10 40 16 40 16

TPT(14)	2690459490556562117	0 2 30 32 54 56 120 122 150 152 162 164 180 182	-1225442295534
STPT(10)	2690459926991766827	0 2 42 44 72 74 102 104 144 146	-789007090824
STPT(10)	2690460177324115541	0 2 36 38 78 80 120 122 156 158	-538674742110
SPT(16)	2690460224935499899	0 54 58 72 78 84 114 120 172 178 208 214 220 234 238 292	-491063357752
TPT(14)	2690460327379854761	0 2 30 32 90 92 96 98 180 182 198 200 210 212	-388619002890
STPT(10)	2690460366359717849	0 2 18 20 60 62 102 104 120 122	-349639139802
STPT(10)	2690460790925140991	0 2 6 8 18 20 30 32 36 38	74926283340
STPT(10)	2690461064801749037	0 2 30 32 42 44 54 56 84 86	348802891386
STPT(10)	2690461547766487049	0 2 42 44 60 62 78 80 120 122	831767629398
STPT(10)	2690461581838298501	0 2 36 38 78 80 120 122 156 158	865839440850
SPT(16)	2690461779618302147	0 14 54 90 110 132 206 222 344 360 434 456 476 512 552 566	1063619444496