Prime p₀= 793495743688899437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 58 2 94 2 22 2 4 2 (?)
a_n: 0 2 60 62 114 116 174 176 270 272 294 296 300 302
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: 302
Found by: [SG]FX
db: batch=73, k=14, 58 52 58 94 22 4

SPT(16)	793495142456249377	0 36 46 70 82 102 114 126 160 172 184 204 216 240 250 286	-601232650060
STPT(10)	793495155519116261	0 2 30 32 78 80 126 128 156 158	-588169783176
SPT(16)	793495264216498271	0 26 42 86 140 156 192 218 240 266 302 318 372 416 432 458	-479472401166
STPT(10)	793495410984966791	0 2 6 8 48 50 90 92 96 98	-332703932646
STPT(12)	793495493171292419	0 2 30 32 60 62 72 74 102 104 132 134	-250517607018
SPT(16)	793495688304203179	0 10 12 42 88 102 130 144 148 162 190 204 250 280 282 292	-55384696258
SPT(16)	793495861832457811	0 10 16 40 60 126 156 166 240 250 280 346 366 390 396 406	118143558374
STPT(10)	793496395071702701	0 2 36 38 78 80 120 122 156 158	651382803264
SPT(16)	793496605454916817	0 6 24 34 76 84 102 112 114 124 142 150 192 202 220 226	861766017380
STPT(10)	793497177592543817	0 2 30 32 42 44 54 56 84 86	1433903644380
STPT(10)	793497712732472729	0 2 18 20 60 62 102 104 120 122	1969043573292