Prime p₀= 1080374777749706651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 40 2 64 2 28 2 22 2 (?)
a_n: 0 2 18 20 78 80 120 122 186 188 216 218 240 242
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: 242
Found by: Theadalus
db: batch=76, k=14, 16 58 40 64 28 22

SPT(16)	1080374214140260961	0 6 26 38 80 96 120 138 218 236 260 276 318 330 350 356	-563609445690
STPT(10)	1080374397981203201	0 2 30 32 60 62 90 92 120 122	-379768503450
STPT(10)	1080374458725214907	0 2 42 44 72 74 102 104 144 146	-319024491744
SPT(16)	1080374481443152487	0 12 56 62 180 182 246 270 296 320 384 386 504 510 554 566	-296306554164
STPT(12)	1080374616359736749	0 2 18 20 42 44 78 80 102 104 120 122	-161389969902
SPT(16)	1080374724873021937	0 34 66 94 142 150 154 192 244 282 286 294 342 370 402 436	-52876684714
STPT(10)	1080374816530826021	0 2 6 8 18 20 30 32 36 38	38781119370
STPT(10)	1080374995252021409	0 2 48 50 90 92 132 134 180 182	217502314758
STPT(10)	1080375041614650359	0 2 48 50 90 92 132 134 180 182	263864943708
SPT(16)	1080375301420542377	0 24 32 66 84 96 116 122 204 210 230 242 260 294 302 326	523670835726
STPT(10)	1080375338275324319	0 2 48 50 90 92 132 134 180 182	560525617668