Prime p₀= 2575781376532769681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 28 2 16 2 22 2 16 2 (?)
a_n: 0 2 48 50 78 80 108 110 126 128 150 152 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 46 28 28 16 22 16

TPT(14)	2575779018996688781	0 2 48 50 78 80 108 110 210 212 246 248 306 308	-2357536080900
SPT(18)	2575779029763634259	0 14 32 38 60 78 110 134 144 158 168 192 224 242 264 270 288 302	-2346769135422
TPT(14)	2575779211630636721	0 2 90 92 138 140 150 152 210 212 336 338 360 362	-2164902132960
STPT(10)	2575779704641054991	0 2 30 32 78 80 126 128 156 158	-1671891714690
SPT(16)	2575780151557650263	0 30 36 114 140 176 224 246 374 396 444 480 506 584 590 620	-1224975119418
STPT(10)	2575781273060561771	0 2 6 8 18 20 30 32 36 38	-103472207910
SPT(16)	2575781384308503733	0 24 36 60 90 120 126 130 150 154 160 190 220 244 256 280	7775734052
SPT(16)	2575781527073387267	0 12 32 56 62 66 84 90 116 122 140 144 150 174 194 206	150540617586
SPT(16)	2575782010599386807	0 32 86 116 126 150 152 162 284 294 296 320 330 360 414 446	634066617126
SPT(16)	2575782023244731837	0 2 6 20 26 30 56 90 92 126 152 156 162 176 180 182	646711962156
STPT(10)	2575782266694204749	0 2 18 20 30 32 42 44 60 62	890161435068