Prime p₀= 1273557313717973831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 10 2 16 2 52 2 16 2 (?)
a_n: 0 2 66 68 96 98 108 110 126 128 180 182 198 200
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: 200
Found by: HenkM
db: batch=77, k=14, 64 28 10 16 52 16

TPT(14)	1273556339891419487	0 2 24 26 54 56 114 116 180 182 234 236 252 254	-973826554344
SPT(16)	1273556444026272533	0 18 84 98 114 116 140 194 210 264 288 290 306 320 386 404	-869691701298
STPT(10)	1273556561942384969	0 2 18 20 30 32 42 44 60 62	-751775588862
STPT(10)	1273556909195321207	0 2 30 32 72 74 114 116 144 146	-404522652624
STPT(10)	1273557123791026901	0 2 30 32 78 80 126 128 156 158	-189926946930
SPT(16)	1273557250426547473	0 10 48 60 76 84 136 150 154 168 220 228 244 256 294 304	-63291426358
STPT(10)	1273557537680923049	0 2 42 44 60 62 78 80 120 122	223962949218
SPT(16)	1273557618626555971	0 10 22 30 70 112 118 120 148 150 156 198 238 246 258 268	304908582140
STPT(10)	1273557735439539461	0 2 6 8 18 20 30 32 36 38	421721565630
STPT(10)	1273557856848976817	0 2 24 26 42 44 60 62 84 86	543131002986
SPT(16)	1273558341845852693	0 24 54 66 114 116 126 176 228 278 288 290 338 350 380 404	1028127878862