Prime p₀= 1167378787074926537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 34 2 52 2 34 2 28 2 (?)
a_n: 0 2 12 14 24 26 60 62 114 116 150 152 180 182
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: 182
Found by: Theadalus
db: batch=77, k=14, 10 10 34 52 34 28

SPT(16)	1167377409484480003	0 6 10 66 88 94 118 144 160 186 210 216 238 294 298 304	-1377590446534
STPT(10)	1167377471084173289	0 2 48 50 90 92 132 134 180 182	-1315990753248
SPT(16)	1167377473337451359	0 12 68 114 128 144 162 168 254 260 278 294 308 354 410 422	-1313737475178
SPT(16)	1167377674837788541	0 58 70 100 136 166 168 178 210 220 222 252 288 318 330 388	-1112237137996
STPT(10)	1167378243980449607	0 2 30 32 42 44 54 56 84 86	-543094476930
STPT(10)	1167378577107663689	0 2 18 20 30 32 42 44 60 62	-209967262848
STPT(10)	1167378865296475607	0 2 12 14 42 44 72 74 84 86	78221549070
SPT(16)	1167379123698235031	0 8 26 56 72 86 90 108 110 128 132 146 162 192 210 218	336623308494
STPT(10)	1167379142852421617	0 2 24 26 42 44 60 62 84 86	355777495080
SPT(16)	1167379299565948661	0 20 38 48 62 66 80 92 96 108 122 126 140 150 168 188	512491022124
TPT(14)	1167379906509707789	0 2 108 110 120 122 192 194 222 224 348 350 402 404	1119434781252