Prime p₀= 2623536466898585297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 46 2 112 2 4 2 22 2 (?)
a_n: 0 2 24 26 42 44 90 92 204 206 210 212 234 236
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: 236
Found by: RFGuy_KCCO
db: batch=82, k=14, 22 16 46 112 4 22

STPT(10)	2623535529701013617	0 2 30 32 42 44 54 56 84 86	-937197571680
SPT(16)	2623535965654322603	0 24 80 114 120 128 146 164 180 198 216 224 230 264 320 344	-501244262694
STPT(10)	2623536002710274549	0 2 18 20 60 62 102 104 120 122	-464188310748
STPT(10)	2623536145007288879	0 2 18 20 30 32 42 44 60 62	-321891296418
SPT(16)	2623536211010931739	0 12 34 42 84 90 94 108 154 168 172 178 220 228 250 262	-255887653558
SPT(16)	2623536362293085623	0 24 40 46 60 88 108 150 154 196 216 244 258 264 280 304	-104605499674
SPT(16)	2623537650181890023	0 26 36 60 66 98 126 164 180 218 246 278 284 308 318 344	1183283304726
SPT(16)	2623537788381811139	0 38 42 54 60 62 90 104 108 122 150 152 158 170 174 212	1321483225842
STPT(10)	2623537863537452759	0 2 18 20 30 32 42 44 60 62	1396638867462
STPT(10)	2623537894095516647	0 2 12 14 72 74 132 134 144 146	1427196931350
STPT(10)	2623538072397939857	0 2 30 32 42 44 54 56 84 86	1605499354560