Prime p₀= 1683366209759024837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 118 2 40 2 100 2 34 2 (?)
a_n: 0 2 60 62 90 92 210 212 252 254 354 356 390 392
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: 392
Found by: CoolAtchOk
db: batch=79, k=14, 58 28 118 40 100 34

STPT(10)	1683364079974818251	0 2 6 8 48 50 90 92 96 98	-2129784206586
STPT(10)	1683364310860796651	0 2 6 8 48 50 90 92 96 98	-1898898228186
STPT(10)	1683364641687497051	0 2 6 8 48 50 90 92 96 98	-1568071527786
SPT(16)	1683365040684385579	0 28 42 82 114 124 138 160 162 184 198 208 240 280 294 322	-1169074639258
STPT(10)	1683365467849478009	0 2 42 44 60 62 78 80 120 122	-741909546828
SPT(16)	1683365766746936381	0 6 18 32 42 48 50 72 146 168 170 176 186 200 212 218	-443012088456
STPT(10)	1683366391928686637	0 2 12 14 42 44 72 74 84 86	182169661800
SPT(16)	1683367386689471479	0 22 34 42 54 64 90 94 138 142 168 178 190 198 210 232	1176930446642
TPT(14)	1683367708495354337	0 2 30 32 42 44 120 122 150 152 240 242 264 266	1498736329500
SPT(16)	1683367750002926821	0 12 16 22 60 72 100 126 142 168 196 208 246 252 256 268	1540243901984
STPT(10)	1683367991228036297	0 2 30 32 60 62 90 92 120 122	1781469011460