Prime p₀= 2084565348593455697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 72 74 114 116 144 146 180 182 210 212 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 70 40 28 34 28 10

SPT(16)	2084563426165090223	0 36 48 90 96 110 138 140 174 176 204 218 224 266 278 314	-1922428365474
SPT(16)	2084563720778978539	0 18 70 88 90 168 190 198 202 210 232 310 312 330 382 400	-1627814477158
STPT(10)	2084564367700143149	0 2 18 20 30 32 42 44 60 62	-980893312548
SPT(16)	2084564482950222257	0 62 92 174 242 284 300 320 384 404 420 462 530 612 642 704	-865643233440
SPT(16)	2084565200896675687	0 22 24 72 84 112 142 166 180 204 234 262 274 322 324 346	-147696780010
STPT(10)	2084565318547111187	0 2 12 14 72 74 132 134 144 146	-30046344510
STPT(10)	2084565886862934437	0 2 30 32 42 44 54 56 84 86	538269478740
SPT(16)	2084566079770083827	0 30 36 54 56 110 156 176 354 374 420 474 476 494 500 530	731176628130
SPT(16)	2084566357630435439	0 48 78 90 92 122 158 204 248 294 330 360 362 374 404 452	1009036979742
STPT(10)	2084566402512071447	0 2 54 56 72 74 90 92 144 146	1053918615750
STPT(10)	2084566686541984037	0 2 30 32 42 44 54 56 84 86	1337948528340