Prime p₀= 2503882448349094607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 202 2 34 2 22 2 16 2 46 2 (?)
a_n: 0 2 60 62 264 266 300 302 324 326 342 344 390 392
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: JayPi
db: batch=82, k=14, 58 202 34 22 16 46

SPT(13)	2503881210744404111	0 12 18 60 108 150 180 210 252 300 342 348 360	-1237604690496
SPT(16)	2503881387645921329	0 2 12 50 62 78 90 132 140 182 194 210 222 260 270 272	-1060703173278
SPT(16)	2503881712108068239	0 30 50 68 78 98 134 140 192 198 234 254 264 282 302 332	-736241026368
STPT(10)	2503881822625034177	0 2 30 32 42 44 54 56 84 86	-625724060430
SPT(16)	2503882169793959569	0 4 10 24 42 88 94 112 150 168 174 220 238 252 258 262	-278555135038
SPT(16)	2503882324526911723	0 36 48 66 90 94 118 126 148 156 180 184 208 226 238 274	-123822182884
STPT(10)	2503882510644473867	0 2 30 32 42 44 54 56 84 86	62295379260
STPT(10)	2503882511867939087	0 2 12 14 42 44 72 74 84 86	63518844480
STPT(10)	2503882937640312197	0 2 54 56 72 74 90 92 144 146	489291217590
SPT(16)	2503883082224295649	0 10 34 48 54 64 78 82 120 124 138 148 154 168 192 202	633875201042
SPT(16)	2503883160979512817	0 40 42 64 82 84 124 142 252 270 310 312 330 352 354 394	712630418210