Prime p₀= 2773790701303404047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 118 2 64 2 10 2 220 2 16 2 (?)
a_n: 0 2 24 26 144 146 210 212 222 224 444 446 462 464
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: 464
Found by: Time_Traveler
db: batch=82, k=14, 22 118 64 10 220 16

SPT(16)	2773789786700180113	0 34 54 90 126 160 186 204 220 238 264 298 334 370 390 424	-914603223934
STPT(10)	2773790051720034047	0 2 30 32 42 44 54 56 84 86	-649583370000
SPT(16)	2773790126620230743	0 18 50 104 114 126 138 156 158 176 188 200 210 264 296 314	-574683173304
STPT(10)	2773790408836034639	0 2 42 44 60 62 78 80 120 122	-292467369408
STPT(10)	2773790415036500339	0 2 18 20 30 32 42 44 60 62	-286266903708
STPT(10)	2773790429126326241	0 2 30 32 78 80 126 128 156 158	-272177077806
STPT(10)	2773790775925925771	0 2 36 38 78 80 120 122 156 158	74622521724
STPT(10)	2773790788790106929	0 2 18 20 30 32 42 44 60 62	87486702882
STPT(10)	2773790818117617971	0 2 30 32 78 80 126 128 156 158	116814213924
TPT(14)	2773791381012746177	0 2 72 74 222 224 270 272 312 314 444 446 480 482	679709342130
SPT(16)	2773791460885495637	0 2 6 12 116 126 132 192 230 290 296 306 410 416 420 422	759582091590