Prime p₀= 2680175237457638927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 124 2 28 2 52 2 28 2 16 2 (?)
a_n: 0 2 54 56 180 182 210 212 264 266 294 296 312 314
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: JayPi
db: batch=82, k=14, 52 124 28 52 28 16

STPT(10)	2680173687839205617	0 2 12 14 222 224 432 434 444 446	-1549618433310
STPT(10)	2680173793196339351	0 2 6 8 18 20 30 32 36 38	-1444261299576
STPT(10)	2680173837349026647	0 2 30 32 72 74 114 116 144 146	-1400108612280
STPT(10)	2680174232968670939	0 2 48 50 90 92 132 134 180 182	-1004488967988
SPT(16)	2680174479615301843	0 40 76 108 118 130 150 198 238 286 306 318 328 360 396 436	-757842337084
SPT(16)	2680174799488397417	0 30 62 84 150 180 182 222 224 264 266 296 362 384 416 446	-437969241510
SPT(16)	2680175455027252447	0 70 100 144 154 172 192 214 222 244 264 282 292 336 366 436	217569613520
SPT(16)	2680175471330186651	0 6 8 12 26 38 66 68 120 122 150 162 176 180 182 188	233872547724
SPT(16)	2680175479672748443	0 16 58 70 78 100 106 148 156 198 204 226 234 246 288 304	242215109516
SPT(16)	2680175543744341067	0 14 50 80 84 144 164 182 204 222 242 302 306 336 372 386	306286702140
SPT(16)	2680175678201456221	0 12 28 142 168 196 208 210 358 360 372 400 426 540 556 568	440743817294