Prime p₀= 1289434824341772257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 202 2 16 2 40 2 16 2 (?)
a_n: 0 2 84 86 90 92 294 296 312 314 354 356 372 374
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: 374
Found by: Cruncher Pete
db: batch=77, k=14, 82 4 202 16 40 16

STPT(10)	1289433494332018037	0 2 30 32 60 62 90 92 120 122	-1330009754220
TPT(14)	1289433546212633357	0 2 30 32 42 44 54 56 72 74 90 92 180 182	-1278129138900
STPT(10)	1289433569991184529	0 2 18 20 30 32 42 44 60 62	-1254350587728
SPT(16)	1289434316727577609	0 40 64 78 102 114 162 168 184 190 238 250 274 288 312 352	-507614194648
STPT(10)	1289434628908843559	0 2 18 20 30 32 42 44 60 62	-195432928698
STPT(10)	1289434683244217897	0 2 90 92 102 104 114 116 204 206	-141097554360
SPT(16)	1289434864041513017	0 14 36 50 86 134 164 180 206 222 252 300 336 350 372 386	39699740760
SPT(16)	1289435093654309213	0 20 30 54 110 140 164 314 366 516 540 570 626 650 660 680	269312536956
STPT(10)	1289435344278882341	0 2 30 32 78 80 126 128 156 158	519937110084
STPT(12)	1289435518140697337	0 2 12 14 54 56 90 92 132 134 144 146	693798925080
TPT(14)	1289435946214788191	0 2 66 68 78 80 198 200 240 242 276 278 360 362	1121873015934