Prime p₀= 1263439590602610257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 22 2 64 2 130 2 10 2 (?)
a_n: 0 2 72 74 90 92 114 116 180 182 312 314 324 326
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: 326
Found by: HenkM
db: batch=77, k=14, 70 16 22 64 130 10

SPT(16)	1263438913460252857	0 16 30 102 150 250 264 306 340 382 396 496 544 616 630 646	-677142357400
STPT(12)	1263438963069733589	0 2 60 62 102 104 150 152 192 194 252 254	-627532876668
STPT(10)	1263439006272812417	0 2 42 44 72 74 102 104 144 146	-584329797840
SPT(16)	1263439184510809157	0 54 62 66 96 126 132 144 272 284 290 320 350 354 362 416	-406091801100
SPT(16)	1263439369829786003	0 56 78 84 108 114 126 128 156 158 170 176 200 206 228 284	-220772824254
STPT(10)	1263439407440506991	0 2 30 32 78 80 126 128 156 158	-183162103266
STPT(12)	1263439747348566251	0 2 78 80 90 92 156 158 168 170 246 248	156745955994
STPT(10)	1263440922263140937	0 2 30 32 42 44 54 56 84 86	1331660530680
SPT(16)	1263441251343527537	0 30 56 84 92 102 120 140 186 206 224 234 242 270 296 326	1660740917280
SPT(16)	1263441292707094069	0 90 100 132 144 154 282 294 430 442 570 580 592 624 634 724	1702104483812
STPT(10)	1263441338372389607	0 2 30 32 72 74 114 116 144 146	1747769779350