Prime p₀= 2322886089150827489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 40 2 118 2 40 2 4 2 (?)
a_n: 0 2 48 50 78 80 120 122 240 242 282 284 288 290
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: 290
Found by: MarkRBright
db: batch=81, k=14, 46 28 40 118 40 4

SPT(16)	2322885122931668149	0 4 22 30 60 112 130 150 184 204 222 274 304 312 330 334	-966219159340
SPT(16)	2322885156803011279	0 10 22 24 78 84 100 150 202 252 268 274 328 330 342 352	-932347816210
STPT(10)	2322885633624337667	0 2 30 32 42 44 54 56 84 86	-455526489822
SPT(16)	2322885639856005899	0 8 12 30 38 78 120 140 162 182 224 264 272 290 294 302	-449294821590
SPT(16)	2322885841474361209	0 4 118 132 148 180 190 204 208 222 232 264 280 294 408 412	-247676466280
STPT(10)	2322885998497481411	0 2 36 38 78 80 120 122 156 158	-90653346078
STPT(10)	2322886220534772437	0 2 30 32 42 44 54 56 84 86	131383944948
SPT(16)	2322886377189277261	0 18 22 112 120 162 238 250 258 270 346 388 396 486 490 508	288038449772
TPT(14)	2322886403704026707	0 2 54 56 120 122 180 182 252 254 282 284 360 362	314553199218
STPT(10)	2322886471560858989	0 2 42 44 60 62 78 80 120 122	382410031500
SPT(13)	2322886537627783063	0 30 60 96 180 186 198 210 216 300 336 366 396	448476955574