Prime p₀= 1411800138942614657 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 42 42 48 30 14 48 42 6 22 6 42 48 14 30 48 42 42 (?)
a_n: 0 42 84 132 162 176 224 266 272 294 300 342 390 404 434 482 524 566
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 566
Found by: Theadalus
db: batch=78, k=18, 42 42 48 30 14 48 42 6 22

SPT(16)	1411799284115495741	0 8 42 90 92 102 120 140 180 200 218 228 230 278 312 320	-854827118916
SPT(16)	1411799519422715021	0 20 42 86 120 152 176 240 278 342 366 398 432 476 498 518	-619519899636
TPT(14)	1411799826716093849	0 2 60 62 138 140 222 224 240 242 270 272 282 284	-312226520808
SPT(16)	1411799931332305079	0 14 38 74 80 204 224 248 264 288 308 432 438 474 498 512	-207610309578
STPT(10)	1411799989418993771	0 2 36 38 78 80 120 122 156 158	-149523620886
STPT(10)	1411800102944531351	0 2 6 8 18 20 30 32 36 38	-35998083306
SPT(16)	1411800538937730631	0 28 42 46 120 148 156 252 286 382 390 418 492 496 510 538	399995115974
SPT(16)	1411800829053064721	0 8 32 36 50 60 122 140 168 186 248 258 272 276 300 308	690110450064
SPT(16)	1411801320944127119	0 32 44 54 110 114 158 168 284 294 338 342 398 408 420 452	1182001512462
SPT(16)	1411801587997611203	0 8 66 78 86 120 138 156 248 266 284 318 326 338 396 404	1449054996546
STPT(10)	1411802231569405769	0 2 30 32 60 62 90 92 120 122	2092626791112