Prime p₀= 2153245558396283291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 16 2 52 2 154 2 22 2 (?)
a_n: 0 2 48 50 78 80 96 98 150 152 306 308 330 332
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: 332
Found by: Landjunge
db: batch=81, k=14, 46 28 16 52 154 22

SPT(16)	2153244751660280587	0 22 70 106 166 192 204 234 292 322 334 360 420 456 504 526	-806736002704
STPT(10)	2153244809362370147	0 2 12 14 72 74 132 134 144 146	-749033913144
SPT(16)	2153244846632561443	0 6 40 46 84 100 138 156 268 286 324 340 378 384 418 424	-711763721848
SPT(16)	2153244894936940957	0 6 36 42 106 136 144 154 252 262 270 300 364 370 400 406	-663459342334
SPT(16)	2153245372717776607	0 22 34 156 160 174 186 204 322 340 352 366 370 492 504 526	-185678506684
SPT(16)	2153245518250413857	0 30 44 56 84 102 210 212 294 296 404 422 450 462 476 506	-40145869434
SPT(16)	2153245583530310099	0 8 24 48 78 80 102 110 132 140 162 164 194 218 234 242	25134026808
STPT(10)	2153245910909153111	0 2 6 8 18 20 30 32 36 38	352512869820
STPT(10)	2153245931172083729	0 2 42 44 60 62 78 80 120 122	372775800438
SPT(16)	2153246254990806203	0 8 30 50 56 60 98 116 138 156 194 198 204 224 246 254	696594522912
STPT(10)	2153246352614255159	0 2 48 50 60 62 72 74 120 122	794217971868