Prime p₀= 1171708319994223787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 166 2 16 2 82 2 4 2 (?)
a_n: 0 2 24 26 84 86 252 254 270 272 354 356 360 362
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: 362
Found by: HenkM
db: batch=77, k=14, 22 58 166 16 82 4

SPT(16)	1171707511045878529	0 4 30 34 48 60 72 78 154 160 172 184 198 202 228 232	-808948345258
SPT(16)	1171707812975042543	0 30 54 78 158 168 228 254 270 296 356 366 446 470 494 524	-507019181244
SPT(16)	1171707841085507837	0 14 20 26 44 72 104 116 210 222 254 282 300 306 312 326	-478908715950
STPT(10)	1171707870131037047	0 2 90 92 132 134 174 176 264 266	-449863186740
STPT(10)	1171708034679269441	0 2 6 8 48 50 90 92 96 98	-285314954346
STPT(10)	1171708227361656041	0 2 36 38 78 80 120 122 156 158	-92632567746
SPT(16)	1171708793742007201	0 10 72 76 102 142 186 192 196 202 246 286 312 316 378 388	473747783414
SPT(16)	1171709009855813179	0 18 24 70 84 88 114 130 132 148 174 178 192 238 244 262	689861589392
STPT(10)	1171709360934044027	0 2 30 32 42 44 54 56 84 86	1040939820240
STPT(10)	1171709553126729317	0 2 30 32 42 44 54 56 84 86	1233132505530
STPT(10)	1171709591556678917	0 2 30 32 42 44 54 56 84 86	1271562455130