Prime p₀= 2101653065520646577 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 10 38 58 140 34 8 22 8 34 140 58 38 10 14 (?)
a_n: 0 14 24 62 120 260 294 302 324 332 366 506 564 602 612 626
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 626
Found by: Landjunge
db: batch=80, k=16, 14 10 38 58 140 34 8 22

SPT(16)	2101652174419146553	0 10 18 58 94 120 130 168 256 294 304 330 366 406 414 424	-891101500024
SPT(16)	2101652244963438413	0 8 38 56 108 246 276 278 336 338 368 506 558 576 606 614	-820557208164
TPT(14)	2101652285471196539	0 2 30 32 168 170 180 182 198 200 222 224 420 422	-780049450038
SPT(16)	2101652588190443159	0 20 50 60 62 84 104 128 174 198 218 240 242 252 282 302	-477330203418
STPT(10)	2101653014711735627	0 2 42 44 102 104 162 164 204 206	-50808910950
STPT(10)	2101653033251866481	0 2 30 32 78 80 126 128 156 158	-32268780096
STPT(10)	2101653176486204321	0 2 30 32 78 80 126 128 156 158	110965557744
STPT(10)	2101653333588939209	0 2 48 50 60 62 72 74 120 122	268068292632
TPT(14)	2101653342126573449	0 2 60 62 102 104 222 224 240 242 390 392 450 452	276605926872
SPT(16)	2101653354878907983	0 20 90 96 98 108 164 230 234 300 356 366 368 374 444 464	289358261406
SPT(16)	2101654020864214331	0 20 50 62 72 78 92 102 128 138 152 158 168 180 210 230	955343567754