Prime p₀= 2326884280126677371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 148 2 10 2 46 2 40 2 10 2 (?)
a_n: 0 2 6 8 156 158 168 170 216 218 258 260 270 272
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: 272
Found by: Orange Kid
db: batch=81, k=14, 4 148 10 46 40 10

SPT(16)	2326883347760491501	0 18 22 36 100 148 160 172 186 198 210 258 322 336 340 358	-932366185870
STPT(10)	2326883385665542787	0 2 30 32 72 74 114 116 144 146	-894461134584
STPT(10)	2326883460957576107	0 2 30 32 72 74 114 116 144 146	-819169101264
STPT(10)	2326883892145133987	0 2 30 32 42 44 54 56 84 86	-387981543384
SPT(16)	2326884072098678551	0 18 40 46 70 96 106 130 138 162 172 198 222 228 250 268	-208027998820
SPT(16)	2326884260754496117	0 12 64 82 90 96 114 154 252 292 310 316 324 342 394 406	-19372181254
STPT(10)	2326884418187831387	0 2 54 56 72 74 90 92 144 146	138061154016
SPT(16)	2326884509051891273	0 20 38 50 84 108 140 150 224 234 266 290 324 336 354 374	228925213902
SPT(16)	2326884604287228721	0 10 30 40 52 58 66 72 136 142 150 156 168 178 198 208	324160551350
STPT(10)	2326885067143872659	0 2 48 50 90 92 132 134 180 182	787017195288
STPT(10)	2326885611001479509	0 2 18 20 60 62 102 104 120 122	1330874802138