Prime p₀= 2454534896766199649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 28 2 28 2 10 2 130 2 (?)
a_n: 0 2 42 44 48 50 78 80 108 110 120 122 252 254
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: 254
Found by: Penguin
db: batch=82, k=14, 40 4 28 28 10 130

SPT(16)	2454534029946694249	0 64 100 124 154 184 190 208 210 228 234 264 294 318 354 418	-866819505400
SPT(16)	2454534388739123797	0 10 12 22 54 60 64 84 190 210 214 220 252 262 264 274	-508027075852
SPT(16)	2454534435251235637	0 34 46 54 70 132 150 172 174 196 214 276 292 300 312 346	-461514964012
STPT(10)	2454534595225833017	0 2 42 44 72 74 102 104 144 146	-301540366632
STPT(10)	2454534644565521657	0 2 42 44 72 74 102 104 144 146	-252200677992
SPT(16)	2454534783917654063	0 6 54 96 120 134 168 194 240 266 300 314 338 380 428 434	-112848545586
STPT(10)	2454535174963679837	0 2 12 14 42 44 72 74 84 86	278197480188
SPT(16)	2454535354807289639	0 20 30 48 54 90 98 132 140 174 182 218 224 242 252 272	458041089990
SPT(16)	2454535843348821637	0 16 30 40 52 54 82 100 126 144 172 174 186 196 210 226	946582621988
SPT(16)	2454536000188390091	0 2 12 18 26 42 122 140 168 186 266 282 290 296 306 308	1103422190442
SPT(16)	2454536851705335949	0 18 30 52 100 160 168 172 180 184 192 252 300 322 334 352	1954939136300