Prime p₀= 2565097049248345187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 4 2 10 2 208 2 28 2 76 2 (?)
a_n: 0 2 114 116 120 122 132 134 342 344 372 374 450 452
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: 452
Found by: philip-in-hong kong
db: batch=82, k=14, 112 4 10 208 28 76

TPT(14)	2565096112270523537	0 2 30 32 144 146 222 224 234 236 312 314 324 326	-936977821650
STPT(10)	2565096490123747157	0 2 30 32 42 44 54 56 84 86	-559124598030
STPT(10)	2565096567290980241	0 2 36 38 78 80 120 122 156 158	-481957364946
SPT(16)	2565096640365053777	0 54 56 86 156 180 222 276 350 404 446 470 540 570 572 626	-408883291410
STPT(10)	2565096770162730239	0 2 42 44 60 62 78 80 120 122	-279085614948
SPT(16)	2565096895189591319	0 120 144 188 218 230 270 278 294 302 342 354 384 428 452 572	-154058753868
STPT(10)	2565097142082090821	0 2 6 8 18 20 30 32 36 38	92833745634
SPT(16)	2565097451653544063	0 18 48 54 68 98 114 194 204 284 300 330 344 350 380 398	402405198876
STPT(10)	2565097455444843329	0 2 48 50 90 92 132 134 180 182	406196498142
STPT(10)	2565097493873248391	0 2 36 38 78 80 120 122 156 158	444624903204
SPT(16)	2565097860355526789	0 2 72 90 102 140 152 198 212 258 270 308 320 338 408 410	811107181602