Prime p₀= 2245568581515352097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 34 2 22 2 124 2 22 2 (?)
a_n: 0 2 30 32 54 56 90 92 114 116 240 242 264 266
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: 266
Found by: Orange Kid
db: batch=81, k=14, 28 22 34 22 124 22

STPT(10)	2245567634901237341	0 2 36 38 78 80 120 122 156 158	-946614114756
STPT(10)	2245567684237049927	0 2 30 32 42 44 54 56 84 86	-897278302170
SPT(16)	2245568033414270107	0 12 72 90 144 154 184 222 232 270 300 310 364 382 442 454	-548101081990
SPT(16)	2245568148780251311	0 46 48 66 70 108 130 136 150 156 178 216 220 238 240 286	-432735100786
STPT(10)	2245568201362766807	0 2 90 92 102 104 114 116 204 206	-380152585290
TPT(14)	2245568207782783067	0 2 42 44 90 92 114 116 120 122 162 164 174 176	-373732569030
STPT(10)	2245568684378270231	0 2 30 32 78 80 126 128 156 158	102862918134
STPT(10)	2245569072889147931	0 2 30 32 78 80 126 128 156 158	491373795834
STPT(10)	2245569151859007617	0 2 24 26 42 44 60 62 84 86	570343655520
SPT(16)	2245569751833913201	0 12 36 46 58 88 100 126 142 168 180 210 222 232 256 268	1170318561104
SPT(16)	2245569947425699033	0 10 100 154 174 210 214 226 354 366 370 406 426 480 570 580	1365910346936