Prime p₀= 298532622170782691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 4 2 10 2 70 2 94 2 (?)
a_n: 0 2 108 110 150 152 156 158 168 170 240 242 336 338
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: 338
Found by: Soulfly
db: batch=69, k=14, 106 40 4 10 70 94

TPT(12)	298532549717708849	0 2 48 50 72 74 132 134 228 230 252 254	-72453073842
SPT(14)	298532550591676721	0 48 60 62 126 146 152 216 222 242 306 308 320 368	-71579105970
SPT(14)	298532552751261583	0 18 28 40 54 58 66 118 126 130 144 156 166 184	-69419521108
SPT(14)	298532552966755183	0 66 84 150 160 174 198 256 280 294 304 370 388 454	-69204027508
SPT(14)	298532573272279681	0 30 40 76 82 90 102 166 178 186 192 228 238 268	-48898503010
SPT(14)	298532589147579727	0 42 70 84 90 132 166 210 244 286 292 306 334 376	-33023202964
SPT(16)	298532622226772449	0 52 54 112 124 162 178 192 220 234 250 288 300 358 360 412	55989758
SPT(20)	298532630982523117	0 4 12 36 66 82 112 154 180 196 270 286 312 354 384 400 430 454 462 466	8811740426
TPT(12)	298532636886528179	0 2 42 44 48 50 78 80 90 92 168 170	14715745488
SPT(14)	298532646013430417	0 30 114 134 140 144 200 210 266 270 276 296 380 410	23842647726
SPT(14)	298532646755187799	0 30 34 42 58 82 94 198 210 234 250 258 262 292	24584405108