Prime p₀= 2045127802003311869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 178 2 40 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 240 242 282 284 312 314
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: 314
Found by: Dingo
db: batch=80, k=14, 28 10 16 178 40 28

SPT(16)	2045126916757558373	0 20 60 90 104 126 158 200 234 276 308 330 344 374 414 434	-885245753496
STPT(10)	2045127438159417341	0 2 36 38 78 80 120 122 156 158	-363843894528
SPT(16)	2045127512768380657	0 12 16 24 66 82 94 96 100 102 114 130 172 180 184 196	-289234931212
SPT(16)	2045127547466524793	0 44 60 74 90 98 128 156 158 186 216 224 240 254 270 314	-254536787076
TPT(14)	2045127597887723411	0 2 30 32 60 62 150 152 318 320 348 350 360 362	-204115588458
STPT(10)	2045127741817431839	0 2 42 44 120 122 198 200 240 242	-60185880030
STPT(10)	2045128250777503007	0 2 30 32 42 44 54 56 84 86	448774191138
STPT(10)	2045128335142207277	0 2 30 32 42 44 54 56 84 86	533138895408
STPT(10)	2045128539721746329	0 2 48 50 90 92 132 134 180 182	737718434460
SPT(16)	2045128574759143877	0 20 42 90 104 110 152 176 180 204 246 252 266 314 336 356	772755832008
STPT(10)	2045128687891725617	0 2 30 32 42 44 54 56 84 86	885888413748