Prime p₀= 863460322106688701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 4 2 10 2 58 2 76 2 (?)
a_n: 0 2 36 38 90 92 96 98 108 110 168 170 246 248
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: 248
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 34 52 4 10 58 76

STPT(10)	863459697901167077	0 2 42 44 72 74 102 104 144 146	-624205521624
TPT(16)	863459816721022889	0 2 42 44 60 62 168 170 198 200 222 224 240 242 432 434	-505385665812
TPT(16)	863459870698961381	0 2 30 32 108 110 126 128 150 152 198 200 336 338 396 398	-451407727320
SPT(16)	863460212528971397	0 2 6 14 54 96 110 114 152 156 170 212 252 260 264 266	-109577717304
STPT(10)	863460229419985397	0 2 30 32 72 74 114 116 144 146	-92686703304
STPT(10)	863460244562632901	0 2 30 32 60 62 90 92 120 122	-77544055800
SPT(18)	863460414473063621	0 2 8 26 32 36 42 78 86 102 110 146 152 156 162 180 186 188	92366374920
SPT(16)	863460648602106397	0 40 64 72 82 84 124 142 174 192 232 234 244 252 276 316	326495417696
SPT(16)	863460760134356953	0 24 34 70 108 114 150 154 240 244 280 286 324 360 370 394	438027668252
SPT(16)	863461331985284471	0 20 36 102 108 138 150 168 200 218 230 260 266 332 348 368	1009878595770
TPT(14)	863461974952770227	0 2 60 62 72 74 102 104 114 116 144 146 180 182	1652846081526