Prime p₀= 2638371175401532997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 124 2 82 2 4 2 22 2 (?)
a_n: 0 2 24 26 54 56 180 182 264 266 270 272 294 296
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: 296
Found by: JayPi
db: batch=82, k=14, 22 28 124 82 4 22

SPT(16)	2638369176834563639	0 32 62 134 194 234 284 312 392 420 470 510 570 642 672 704	-1998566969358
SPT(16)	2638369716561545297	0 42 50 62 104 116 132 182 234 284 300 312 354 366 374 416	-1458839987700
SPT(16)	2638369937302722199	0 22 30 48 58 78 90 100 132 142 154 174 184 202 210 232	-1238098810798
SPT(16)	2638370041457897179	0 24 42 54 88 108 112 142 180 210 214 234 268 280 298 322	-1133943635818
SPT(16)	2638370290187008973	0 44 78 128 140 150 176 200 204 228 254 264 276 326 360 404	-885214524024
SPT(16)	2638370330644892873	0 18 24 50 78 84 108 110 168 170 194 200 228 254 260 278	-844756640124
SPT(16)	2638371758589891463	0 6 28 34 58 96 100 138 286 324 328 366 390 396 418 424	583188358466
STPT(10)	2638371800143087637	0 2 30 32 72 74 114 116 144 146	624741554640
SPT(16)	2638371975012593999	0 14 60 62 84 104 182 222 230 270 348 368 390 392 438 452	799611061002
SPT(16)	2638372186992369881	0 6 18 30 48 60 78 86 102 110 128 140 158 170 182 188	1011590836884
SPT(16)	2638372362153741683	0 68 98 108 150 236 276 326 330 380 420 506 548 558 588 656	1186752208686