Prime p₀= 1955166717095579969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 52 2 64 2 88 2 112 2 (?)
a_n: 0 2 42 44 48 50 102 104 168 170 258 260 372 374
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: 374
Found by: Landjunge
db: batch=80, k=14, 40 4 52 64 88 112

SPT(16)	1955165760620706311	0 2 12 38 42 66 80 132 146 198 212 236 240 266 276 278	-956474873658
SPT(16)	1955165792471851781	0 8 30 48 86 90 92 156 272 336 338 342 380 398 420 428	-924623728188
TPT(14)	1955166282230880377	0 2 24 26 84 86 222 224 234 236 282 284 324 326	-434864699592
STPT(10)	1955166373557852821	0 2 36 38 78 80 120 122 156 158	-343537727148
STPT(10)	1955166427978523939	0 2 48 50 90 92 132 134 180 182	-289117056030
STPT(10)	1955166525085059899	0 2 18 20 30 32 42 44 60 62	-192010520070
STPT(12)	1955166835733147081	0 2 36 38 48 50 78 80 90 92 126 128	118637567112
STPT(10)	1955167577625430037	0 2 72 74 102 104 132 134 204 206	860529850068
STPT(10)	1955167634476454087	0 2 30 32 42 44 54 56 84 86	917380874118
SPT(16)	1955167739257902493	0 4 18 48 78 120 154 190 198 234 268 310 340 370 384 388	1022162322524
SPT(16)	1955168704997469037	0 52 70 72 76 142 156 180 196 220 234 300 304 306 324 376	1987901889068