Prime p₀= 1953525397879534679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 154 2 10 2 16 2 22 2 34 2 (?)
a_n: 0 2 12 14 168 170 180 182 198 200 222 224 258 260
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: 260
Found by: JonS
db: batch=80, k=14, 10 154 10 16 22 34

TPT(14)	1953523708996042241	0 2 78 80 90 92 186 188 210 212 216 218 240 242	-1688883492438
STPT(10)	1953524143518666611	0 2 6 8 48 50 90 92 96 98	-1254360868068
STPT(10)	1953524403688856039	0 2 18 20 30 32 42 44 60 62	-994190678640
SPT(16)	1953524409899712179	0 32 54 62 98 140 158 162 200 204 222 264 300 308 330 362	-987979822500
SPT(16)	1953524891155581431	0 30 36 156 162 182 200 210 218 228 246 266 272 392 398 428	-506723953248
SPT(16)	1953525051463712239	0 30 52 64 100 108 142 148 204 210 244 252 288 300 322 352	-346415822440
SPT(16)	1953525458773785227	0 24 44 60 62 74 92 102 104 114 132 144 146 162 182 206	60894250548
SPT(16)	1953525814989194081	0 18 26 56 80 86 108 138 158 188 210 216 240 270 278 296	417109659402
SPT(16)	1953525977221478467	0 12 16 30 52 66 96 124 222 250 280 294 316 330 334 346	579341943788
SPT(16)	1953526080094449569	0 8 14 18 78 102 144 198 254 308 350 374 434 438 444 452	682214914890
STPT(10)	1953526258561785449	0 2 12 14 90 92 168 170 180 182	860682250770