Prime p₀= 2310499842750757829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 28 2 130 2 34 2 28 2 (?)
a_n: 0 2 12 14 90 92 120 122 252 254 288 290 318 320
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: 320
Found by: FritzB
db: batch=81, k=14, 10 76 28 130 34 28

SPT(16)	2310498602216499883	0 28 70 84 90 130 136 138 166 168 174 214 220 234 276 304	-1240534257946
SPT(16)	2310499225179552521	0 2 38 78 116 126 168 176 192 200 242 252 290 330 366 368	-617571205308
STPT(10)	2310499362132324617	0 2 42 44 72 74 102 104 144 146	-480618433212
TPT(16)	2310499442133856427	0 2 24 26 42 44 54 56 102 104 114 116 150 152 234 236	-400616901402
STPT(10)	2310499495111619027	0 2 60 62 72 74 84 86 144 146	-347639138802
STPT(10)	2310499681355007137	0 2 30 32 72 74 114 116 144 146	-161395750692
STPT(10)	2310499943749190951	0 2 6 8 18 20 30 32 36 38	100998433122
TPT(14)	2310500391300674429	0 2 42 44 192 194 330 332 360 362 372 374 498 500	548549916600
STPT(10)	2310500582509319927	0 2 24 26 42 44 60 62 84 86	739758562098
STPT(10)	2310500736690924077	0 2 24 26 42 44 60 62 84 86	893940166248
STPT(10)	2310500866345421537	0 2 12 14 72 74 132 134 144 146	1023594663708